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**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 âˆ LMP given in the figure.**

**Sol.2 : **Armsofâˆ 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 âˆ ABC, âˆ BAC, and âˆ ACB.

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

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

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

**(i) in the interior of âˆ P**

**(ii) in the exterior of âˆ P**

**(iii) lie on âˆ P**

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

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

(iii) Points A, P and M lie on âˆ P.

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

**(i) âˆ 1.**

**(ii) âˆ 2.**

**(iii) âˆ 3.**

**(iv) âˆ 4.**

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

(ii) Another name for âˆ 2 is âˆ BOC.

(iii) Another name for âˆ 3 is âˆ AOC.

(iv) Another name for âˆ 4 is âˆ AOD.

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

**(i) âˆ 1.**

**(ii) âˆ 2.**

**(iii) âˆ 3.**

**Sol.6 : **(i) âˆ BPE

(ii) âˆ PQC

(iii) âˆ DQF

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

**(i) Point B in the interior of âˆ AOB**

**(ii) Point B in the interior of âˆ AOC**

**(iii) Point A in the interior of âˆ AOD**

**(iv) Point C in the exterior of âˆ AOB**

**(v) Point D in the exterior of âˆ AOC**

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

(i), and (iii) are incorrect statements as B lies on âˆ AOB and A lies on âˆ 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) âˆ AOB is greater than âˆ DEF.

(ii) âˆ PQR is greater than âˆ LMN.

(iii) âˆ UVW is greater than âˆ 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) âˆ PQR is greater than âˆ AOB.

(ii) âˆ UVW is greater thsn âˆ LMN.

(iii) âˆ RST is greater than âˆ XYZ.

(iv) âˆ PQR is greater than âˆ EFG..

- Basic Geometrical Concepts - RD Sharma 2019
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