Selina solutions for Concise Mathematics Class 7 ICSE chapter 14 - Lines and Angles (Including Construction of angles) [Latest edition]

Chapter 14: Lines and Angles (Including Construction of angles)

Exercise 14 (A)Exercise 14 (B)Exercise 14 (C)
Exercise 14 (A)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 14 Lines and Angles (Including Construction of angles) Exercise 14 (A)

Exercise 14 (A) | Q 1.01

State, true or false:

A line segment 4 cm long can have only 2000 points in it.

• True

• False

Exercise 14 (A) | Q 1.02

State, true or false:

A ray has one endpoint and a line segment has two end-points.

• True

• False

Exercise 14 (A) | Q 1.03

State, true or false:

A line segment is the shortest distance between any two given points.

• True

• False

Exercise 14 (A) | Q 1.04

State, true or false:

An infinite number of straight lines can be drawn through a given point.

• True

• False

Exercise 14 (A) | Q 1.05

Write the number of endpoints in
(a) a line segment AB
(b) a ray AB
(c) a line AB

Exercise 14 (A) | Q 1.06

out of $\overleftrightarrow{AB},\overrightarrow{AB},\overleftarrow{AB}$ and overline(AB) which one has a fixed length?

Exercise 14 (A) | Q 1.07

How many rays can be drawn through a fixed point O?

Exercise 14 (A) | Q 1.08

How many lines can be drawn through three
(a) collinear points?
(b) non-collinear points?

Exercise 14 (A) | Q 1.09

State, true or false:

Is 40° the complement of 60°?

• True

• False

Exercise 14 (A) | Q 1.1

State, true or false:

Is 45° the supplement of 45°?

• True

• False

Exercise 14 (A) | Q 2.1

Exercise 14 (A) | Q 2.2

Exercise 14 (A) | Q 2.3

Exercise 14 (A) | Q 2.4

Exercise 14 (A) | Q 3

In the given figure, BAC is a straight line.
Find:
(i) x
(ii) ∠AOB
(iii) ∠BOC

Exercise 14 (A) | Q 4

Find y in the given figure.

Exercise 14 (A) | Q 5

In the given figure, find ∠PQR.

Exercise 14 (A) | Q 6

In the given figure. p° = q° = r°, find each.

Exercise 14 (A) | Q 7

In the given figure, if x = 2y, find x and y

Exercise 14 (A) | Q 8

In the adjoining figure, if b° = a° + c°, find b.

Exercise 14 (A) | Q 9

In the given figure, AB is perpendicular to BC at B.
Find:
(i) the value of x.
(ii) the complement of angle x.

Exercise 14 (A) | Q 10.1

Write the complement of 25°

Exercise 14 (A) | Q 10.2

Write the complement of 90°

Exercise 14 (A) | Q 10.3

Write the complement of a°

Exercise 14 (A) | Q 10.4

Write the complement of (x + 5)°

Exercise 14 (A) | Q 10.5

Write the complement of (30 − a)°

Exercise 14 (A) | Q 10.6

Write the complement of 1/2 of a right angle

Exercise 14 (A) | Q 10.7

Write the complement of 1/3 of 180°

Exercise 14 (A) | Q 10.8

Write the complement of 21° 17'

Exercise 14 (A) | Q 11.1

Write the supplement of 100°

Exercise 14 (A) | Q 11.2

Write the supplement of 0°

Exercise 14 (A) | Q 11.3

Write the supplement of x°

Exercise 14 (A) | Q 11.4

Write the supplement of (x + 35)°

Exercise 14 (A) | Q 11.5

Write the supplement of (90 + a + b)°

Exercise 14 (A) | Q 11.6

Write the supplement of (110 – x – 2y)°

Exercise 14 (A) | Q 11.7

Write the supplement of 1/5 of a right angle

Exercise 14 (A) | Q 11.8

Write the supplement of 80° 49′ 25″

Exercise 14 (A) | Q 12.1

Are the following pairs of angles complementary?
10° and 80°

Exercise 14 (A) | Q 12.2

Are the following pairs of angles complementary?
37° 28′ and 52° 33′

Exercise 14 (A) | Q 12.3

Are the following pairs of angles complementary?
(x + 16)° and (74 − x)°

Exercise 14 (A) | Q 12.4

Are the following pairs of angles complementary?
54° and 2/5 of a right angle.

Exercise 14 (A) | Q 13.1

Are the following pairs of angles supplementary?
139° and 39°.

Exercise 14 (A) | Q 13.2

Are the following pairs of angles supplementary?
26° 59′ and 153° 1′.

Exercise 14 (A) | Q 13.3

Are the following pairs of angles supplementary?
3/10 of a right angle and 4/15 of two right angles.

Exercise 14 (A) | Q 13.4

Are the following pairs of angles supplementary?
2x° + 65° and 115°− 2x°

Exercise 14 (A) | Q 14

If 3x + 18° and 2x + 25° are supplementary, find the value of x.

Exercise 14 (A) | Q 15

If two complementary angles are in the ratio 1 : 5, find them.

Exercise 14 (A) | Q 16

If two supplementary angles are in the ratio 2 : 7, find them.

Exercise 14 (A) | Q 17

Three angles which add up to 180° are in the ratio 2 : 3 : 7. Find them.

Exercise 14 (A) | Q 18

20% of an angle is the supplement of 60°. Find the angle.

Exercise 14 (A) | Q 19

10% of x° is the complement of 40% of 2x°. Find x

Exercise 14 (A) | Q 20

Use the adjacent figure, to find angle x and its supplement.

Exercise 14 (A) | Q 21.1

Find k of the given figure.

Exercise 14 (A) | Q 21.2

Find k of the given figure.

Exercise 14 (A) | Q 22

In the given figure, lines PQ, MN, and RS intersect at O. If x : y = 1 : 2 and z = 90°, find ∠ROM and ∠POR.

Exercise 14 (A) | Q 23

In the given figure, find ∠AOB and ∠BOC.

Exercise 14 (A) | Q 24

Find each angle shown in the diagram.

Exercise 14 (A) | Q 25

AB, CD and EF are three lines intersecting at the same point.
(i) Find x, if y = 45° and z = 90°.
(ii) Find a, if x = 3a, y = 5x and r = 6x.

Exercise 14 (B)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 14 Lines and Angles (Including Construction of angles) Exercise 14 (B)

Exercise 14 (B) | Q 1.1

Identify the given pair of angles as ∠3 and ∠6

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.2

Identify the given pair of angles as ∠2 and ∠4

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.3

Identify the given pair of angles as ∠3 and ∠7

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.4

Identify the given pair of angles as ∠2 and ∠7

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.5

Identify the given pair of angles as ∠4 and ∠6

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied or co-interior angles

Exercise 14 (B) | Q 1.6

Identify the given pair of angles as ∠1 and ∠8

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.7

Identify the given pair of angles as ∠1 and ∠5

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.8

Identify the given pair of angles as ∠1 and ∠4

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 1.9

Identify the given pair of angles as ∠5 and ∠7

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.01

Identify the given pair of angles as ∠1 and ∠4

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.02

Identify the given pair of angles as ∠4 and ∠7

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.03

Identify the given pair of angles as ∠10 and ∠12

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.04

Identify the given pair of angles as ∠7 and ∠13

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.05

Identify the given pair of angles as ∠6 and ∠8

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.06

Identify the given pair of angles as ∠11 and ∠8

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied or co-interior angles

Exercise 14 (B) | Q 2.07

Identify the given pair of angles as ∠7 and ∠9

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.08

Identify the given pair of angles as ∠4 and ∠5

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.09

Identify the given pair of angles as ∠4 and ∠6

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied or co-interior angles

Exercise 14 (B) | Q 2.1

Identify the given pair of angles as ∠6 and ∠7

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied angles

Exercise 14 (B) | Q 2.11

Identify the given pair of angles as ∠2 and ∠13

• corresponding angles

• interior alternate angles

• exterior alternate angles

• vertically opposite angles

• allied or co-interior angles

Exercise 14 (B) | Q 3.1

In the given figure, the arrows indicate parallel lines. State which angles are equal. Give a reason.

Exercise 14 (B) | Q 3.2

In the given figure, the arrows indicate parallel lines. State which angles are equal. Give a reason.

Exercise 14 (B) | Q 4

In the given figure, find the measure of the unknown angles:

Exercise 14 (B) | Q 5.1

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Exercise 14 (B) | Q 5.2

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Exercise 14 (B) | Q 5.3

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Exercise 14 (B) | Q 5.4

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Exercise 14 (B) | Q 5.5

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Exercise 14 (B) | Q 5.6

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Exercise 14 (B) | Q 6.01

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.02

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.03

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.04

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.05

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.06

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.07

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.08

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.09

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.1

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.11

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 6.12

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Exercise 14 (B) | Q 7.1

Find x, y and p is the given figure

Exercise 14 (B) | Q 7.2

Find x, y and p is the given figure

Exercise 14 (B) | Q 8.1

Find x in the following case:

Exercise 14 (B) | Q 8.2

Find x in the following case:

Exercise 14 (B) | Q 8.3

Find x in the following case:

Exercise 14 (B) | Q 8.4

Find x in the following case:

Exercise 14 (B) | Q 8.5

Find x in the following case:

Exercise 14 (B) | Q 8.6

Find x in the following case:

Exercise 14 (C)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 14 Lines and Angles (Including Construction of angles) Exercise 14 (C)

Exercise 14 (C) | Q 1.1

Using ruler and compasses, construct the following angle:
30°

Exercise 14 (C) | Q 1.2

Using ruler and compasses, construct the following angle:
15°

Exercise 14 (C) | Q 1.3

Using ruler and compasses, construct the following angle:
75°

Exercise 14 (C) | Q 1.4

Using ruler and compasses, construct the following angle:
180°

Exercise 14 (C) | Q 1.5

Using ruler and compasses, construct the following angle:
165°

Exercise 14 (C) | Q 1.6

Using ruler and compasses, construct the following angle:
22.5°

Exercise 14 (C) | Q 1.7

Using ruler and compasses, construct the following angle:
37.5°

Exercise 14 (C) | Q 1.8

Using ruler and compasses, construct the following angle:
67.5°

Exercise 14 (C) | Q 2

Draw ∠ABC = 120°. Bisect the angle using ruler and compasses only. Measure each 1 angle so obtained and check whether the angles obtained on bisecting ∠ABC are equal or not.

Exercise 14 (C) | Q 3

Draw a line segment PQ = 6 cm. Mark a point A in PQ so that AP = 2 cm. At point A, construct angle QAR = 60°.

Exercise 14 (C) | Q 4

Draw a line segment AB = 8 cm. Mark a point P in AB so that AP = 5 cm. At P, construct angle APQ = 30°.

Exercise 14 (C) | Q 5

Construct an angle of 75° and then bisect it.

Exercise 14 (C) | Q 6

Draw a line segment of length 6.4 cm. Draw its perpendicular bisector.

Exercise 14 (C) | Q 7

Draw a line segment AB = 5.8 cm. Mark a point P in AB such that PB = 3.6 cm. At P, draw a perpendicular to AB.

Exercise 14 (C) | Q 8.1

In the case, given below, draw a line through point P and parallel to AB:

Exercise 14 (C) | Q 8.2

In the case, given below, draw a line through point P and parallel to AB:

Exercise 14 (C) | Q 8.3

In the case, given below, draw a line through point P and parallel to AB:

Chapter 14: Lines and Angles (Including Construction of angles)

Exercise 14 (A)Exercise 14 (B)Exercise 14 (C)

Selina solutions for Concise Mathematics Class 7 ICSE chapter 14 - Lines and Angles (Including Construction of angles)

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 14 Lines and Angles (Including Construction of angles) are Concept for Pairs of Angles, Concept for Properties of Parallel Lines with Transversal, Construction of a Line Parallel to a Given Line from a Point Outside It ., Introduction to Lines and Angles.

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