Ex-11.1, Angles, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download

Q.1 Give three examples of angles from your environment.

Sol.1 : Three examples of angles from our environment are:

(i) Angle formed by the minute and hour hands of an analog clock.

(ii) Angle formed by the two adjacent walls of a room

(iii) Angle formed by the two adjacent fingers of our hand.

Q.2 Write the arms and the vertex of ∠LMP given in the figure.

Sol.2 : Armsof∠LMPareMPandML.Further,itsvertexisM.

Q.3 How many angles are formed in the figures given ? Name them. (fig. from book)

Sol.3 : (i) Three angles are formed, namely ∠ABC, ∠BAC, and ∠ACB.

(ii) Four angles are formed, namely ∠ABC, ∠ADC, ∠BCD, and ∠BAD.

(iii) Eight angles are formed namely ∠ADC, ∠ACD, ∠DAC, ∠ACB, ∠ABC, ∠BAC¸ ∠BCD, and ∠BAD.

Q.4 From figure, list the points which are : (fig. from book)

(i) in the interior of ∠P

(ii) in the exterior of ∠P

(iii) lie on ∠P

Sol.4 : (i) Points J and C lie in the interior of ∠P.

(ii) Points D and B lie in the exterior of ∠P.

(iii) Points A, P and M lie on ∠P.

Q.5 In the figure, write another name for : (fig. from book)

(i) ∠1.

(ii) ∠2.

(iii) ∠3.

(iv) ∠4.

Sol.5 : (i) Another name for ∠1 is ∠BOD.

(ii) Another name for ∠2 is ∠BOC.

(iii) Another name for ∠3 is ∠AOC.

(iv) Another name for ∠4 is ∠AOD.

Q.6 In the figure, write another name for : (fig. from book)

(i) ∠1.

(ii) ∠2.

(iii) ∠3.

Sol.6 : (i) ∠BPE

(ii) ∠PQC

(iii) ∠DQF

Q.7 In the given fig., which of the following statements are true: (fig. from book)

(i) Point B in the interior of ∠AOB

(ii) Point B in the interior of ∠AOC

(iii) Point A in the interior of ∠AOD

(iv) Point C in the exterior of ∠AOB

(v) Point D in the exterior of ∠AOC

Sol.7 : (ii), (iv), and (v) are true statements.

(i), and (iii) are incorrect statements as B lies on ∠AOB and A lies on ∠AOD.

Q.8 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.

Sol.8 : (iii) The vertex of an angle lies on it.

This is the only correct statement.

Q.9 By simply looking at the pair of angles given in figure, state which of the angles in each of the pairs is greater. (fig. from book)

Sol.9 : (i) ∠AOB is greater than ∠DEF.

(ii) ∠PQR is greater than ∠LMN.

(iii) ∠UVW is greater than ∠XYZ.

Q.10 By using tracing paper compare the angles in each of the pairs given in figure, (fig. from book)

Sol.10 : Using tracing paper, we get that:

(i) ∠PQR is greater than ∠AOB.

(ii) ∠UVW is greater thsn ∠LMN.

(iii) ∠RST is greater than ∠XYZ.

(iv) ∠PQR is greater than ∠EFG..