Page 210 - Maths Class 06

Exercise 14.2

1. Using ruler and a pair of compasses, construct angles of the following measures:
(a) 60° (b) 120° (c) 30°
(d) 90° (e) 45°

2. Draw ÐABC = 60°. Draw the bisector of this angle.

3. Draw two line segments AB and CD to lengths 7.5 cm and 5.4 cm, respec tively. Draw PQ equal to
the difference of AB and CD. Measure the length of PQ for its verification.

4. Using a protractor draw an angle Ð =B 75 °. Draw the angle bisec tor of this angle.
5. One diag o nal of a kite is 5.5 cm long. The other diag o nal is 2.5 cm longer than the first diag o nal.
What is the area of the kite?

6. Draw an angle of 84° with a protractor and bisect it by using a pair of compasses.

7. Draw a line PQ = 5 cm and take a point A on it such that AP = 3 cm. Taking A as the centre, draw
an angle of 90° using a pair of compasses.

8. Draw an angle of 140° with the help of a protrac tor and bisect it using a pair of compasses.

9. Draw an angle ÐPQR = 100° with the help of a protrac tor. Now, draw ÐABC = ÐPQR using a
ruler and a pair of compasses.

At a Glance

l A closed figure bounded by four line segments is called a quadrilateral.

l An angle is formed when two rays have a common endpoint.
l The magnitude or measure of an angle depends upon the opening of its arms.
l When a ray makes one complete rotation, the measure of the angle is 360°.

l A straight angle is an angle when a ray rotates half a circle from its original position.
l If a ray rotates through a quarter (one-fourth) of a complete rotation, the measure of this angle is 90°.

l An acute angle is less than 90° or one right angle.
l An angle between 90° to 180° is called an obtuse angle.
l An reflex angle is greater than 180° but less than 360°.

l An angle has an interior as well as an exterior region.

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