Lines AB and CD intersect at point O

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines AB and CD intersect at point O. Rays OX and OY are the bisectors of

\angle AOC

and

\angle COB

respectively. Answer the following: (i) Show that

\angle AOC + \angle COB = 180^{\circ}

. (ii) Prove that

\angle XOY = 90^{\circ}