#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

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

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

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

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

**State, true or false:**

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

True

False

**State, true or false:**

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

True

False

**State, true or false:**

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

True

False

**State, true or false:**

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

True

False

Write the number of endpoints in

(a) a line segment AB

(b) a ray AB

(c) a line AB

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

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

How many lines can be drawn through three

(a) collinear points?

(b) non-collinear points?

**State, true or false:**

Is 40° the complement of 60°?

True

False

**State, true or false:**

Is 45° the supplement of 45°?

True

False

In the following figure, ∠AOB and ∠AOC are adjacent angles? Give the reason for your answer.

In the following figure, ∠AOB and ∠AOC are adjacent angles? Give the reason for your answer.

In the following figure, ∠AOB and ∠AOC are adjacent angles? Give the reason for your answer.

In the following figure, ∠AOB and ∠AOC are adjacent angles? Give the reason for your answer.

In the given figure, BAC is a straight line.

Find: **(i)** x **(ii) **∠AOB **(iii)** ∠BOC

Find y in the given figure.

In the given figure, find ∠PQR.

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

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

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

In the given figure, AB is perpendicular to BC at B.

Find: **(i) **the value of x.**(ii) **the complement of angle x.

Write the complement of 25°

Write the complement of 90°

Write the complement of a°

Write the complement of (x + 5)°

Write the complement of (30 − a)°

Write the complement of `1/2` of a right angle

Write the complement of `1/3` of 180°

Write the complement of 21° 17'

Write the supplement of 100°

Write the supplement of 0°

Write the supplement of x°

Write the supplement of (x + 35)°

Write the supplement of (90 + a + b)°

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

Write the supplement of `1/5` of a right angle

Write the supplement of 80° 49′ 25″

Are the following pairs of angles complementary?

10° and 80°

Are the following pairs of angles complementary?

37° 28′ and 52° 33′

Are the following pairs of angles complementary?

(x + 16)° and (74 − x)°

Are the following pairs of angles complementary?

54° and `2/5` of a right angle.

Are the following pairs of angles supplementary?

139° and 39°.

Are the following pairs of angles supplementary?

26° 59′ and 153° 1′.

Are the following pairs of angles supplementary?

`3/10` of a right angle and `4/15` of two right angles.

Are the following pairs of angles supplementary?

2x° + 65° and 115°− 2x°

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

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

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

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

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

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

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

Find k of the given figure.

Find k of the given figure.

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

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

Find each angle shown in the diagram.

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.

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

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied or co-interior angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied or co-interior angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied or co-interior angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied angles

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

corresponding angles

interior alternate angles

exterior alternate angles

adjacent angles

vertically opposite angles

allied or co-interior angles

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Find x, y and p is the given figure

Find x, y and p is the given figure

Find x in the following case:

Find x in the following case:

Find x in the following case:

Find x in the following case:

Find x in the following case:

Find x in the following case:

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

Using ruler and compasses, construct the following angle:

30°

Using ruler and compasses, construct the following angle:

15°

Using ruler and compasses, construct the following angle:

75°

Using ruler and compasses, construct the following angle:

180°

Using ruler and compasses, construct the following angle:

165°

Using ruler and compasses, construct the following angle:

22.5°

Using ruler and compasses, construct the following angle:

37.5°

Using ruler and compasses, construct the following angle:

67.5°

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.

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°.

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

Construct an angle of 75° and then bisect it.

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

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.

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

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

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

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

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

Selina solutions for Concise Mathematics Class 7 ICSE chapter 14 (Lines and Angles (Including Construction of angles)) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Mathematics Class 7 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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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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