Question

Construct the 30° angle, using ruler and a pair of compass only.

Answer 1

Steps of construction:

To construct an angle of 30°.

1. Draw a line OB of any suitable length.
2. At O, draw an arc of any size to cut OB at D.
3. With D as a centre, draw the same size arc, to cut the previous arc at C.
4. Join OC and extend up to a suitable point A. Then, ∠AOB = 60°.
5. Bisect this angle of get two angles each of 30°. Thus, ∠EOB = 30°.