Question

How many arcs are drawn while constructing ${30}^{\circ }$ angle using a compass

• A. 2
• B. 3
• C. 4
• D. 6

Answer 1

The correct option is C 4

Draw a line ‘l’ and mark a point ‘O’ on it.

(i) With ‘O’ as center draw an arc of any radius to cut the line at A.

(ii) With the same radius and A as center draw an arc to cut the previous arc at B.

(iii) Join OB. We get the required angle ∠AOB = 60°.

Bisect it to get 30° angle.

With ‘A’ as center, draw an arc of radius more than half of AB in the interior of ∠AOB.
With the same radius and with B as center draw an arc to cut the previous one at C.
Join OC.
We get the required angle ∠AOC = 30°.