Question

Question 5 (c)

Construct with ruler and compasses, angles of following measures:
${90}^{\circ }$

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 X.
(iii) Taking X as centre and same radius, cut previous arc at Y.
(iv) Taking Y as centre and same radius, draw another arc intersecting the same arc at Z.
(v) Taking Y and Z as centres and same radius, draw two arcs intersecting each other at S.
(vi) Join OS and produce it to form a ray OB. Thus, $\angle BOA$ is required angle of ${90}^{\circ }$