R d sharma mathematics solutions class 6 Solutions for Chapter 11 angles

Give three examples of angles from your environment.

Write the arms and the vertex of ∠ LMP given in Fig. 11.14.

How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them.

In Fig. 11.16, list the points which are: (i) in the interior of ∠ P (ii) in the exterior of ∠ P and (iii) lie on∠ P.

In Fig. 11.17, write another name for:

(i) ∠ 1

(ii) ∠ 2

(iii) ∠ 3

(iv) ∠ 4

In Fig. 11.18, write another name for:

(i) ∠ 1

(ii) ∠ 2

(iii) ∠ 3

In Fig. 11.19, which of the following statements are true:

(i) Point B is the interior of ∠ AOB.

(ii) Point B is the interior of ∠ AOC.

(iii) Point A is the interior of ∠ AOD.

(iv) Point C is the interior of ∠ AOB.

(v) Point D is the exterior of ∠ AOC.

Which of the following statements are true:

(i) The vertex of an angle lies in its interior.

(ii) The vertex of an angle lies in its exterior.

(iii) The vertex of an angle lies on it.

By simply looking at the pair of angles given in Fig. 11.20, state which of the angles in each of the pairsis greater:

By using tracing paper compare the angles in each of the pairs given in Fig. 11.21

Give two examples each of right, acute and obtuse angles from your environment.

An angle is formed by two adjacent fingers. What kind of angle will it appear?

Shikha is rowing a boat due north-east. In which direction will she be rowing if she turns itthrough:

(i) a straight angle

(ii) a complete angle

What is the measure of the angle in degrees between:

(i) North and West?

(ii) North and South?

(iii) North and South- East?

A ship sailing in river Jhelam moves towards east. If it changes to north, through what angle doesit turn?

You are standing in a class-room facing north. In what direction are you facing after making aquarter turn?

A bicycle wheel makes four and a half turns. Find the number of right angles through which itturns.

Look at your watch face. Through how many right angles does the minute-hand moves between 8: 00 O’ clock and 10: 30 O’ clock?

If a bicycle wheel has 48 spokes, then find the angle between a pair of adjacentspokes.

Classify the following angles as acute, obtuse, straight, right, zero and complete angle:

(i) 118o

(ii) 29o

(iii) 145o

(iv) 165o

(v) 0o

(vi) 75o

(vii) 180o

(viii) 89.5o

(ix) 30o

(x) 90o

(xi) 179o

(xii) 360o

(xiii) 90 ½ o

Using only a ruler, draw an acute angle, a right angle and an obtuse angle in your notebook andname them.

State the kind of angle, in each case, formed between the following directions:

(i) East and West

(ii) East and North

(iii) North and North-East

(iv) North and South-East

State the kind of each of the following angles: