Question

Question 5 (b)

Construct with ruler and compasses, angles of following measures:
${30}^{\circ }$

Answer 1

Steps of construction:

(i) Draw a ray $\overline{OA}$
(ii) Taking O as centre and convenient radius, mark an arc, which intersects $\overline{OA}$ at P.
(iii) Taking P as centre and the same radius, cut the previous arc at Q.
(iv) Join OQ. Thus, $\angle BOA$ is of ${60}^{\circ }$ .
(v) Put the pointer on P, with radius more than half of PQ, and mark an arc.
(vi) Put the pointer on Q and with the same radius, cut the previous arc at C. Thus, $\angle COA$ is required angle of ${30}^{\circ }$.