R.K. Bansal solutions for कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा ७ आईसीएसई chapter 16 - Lines and Angles (Including Construction of angles) [Latest edition]

State, true or false:

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

State, true or false:

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

State, true or false:

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

State, true or false:

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

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°?

State, true or false:

Is 45° the supplement of 45°?

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 in 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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:

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: