Question

The adjoining figure is a rectangle whose diagonals $AC$ and $BD$ intersect at $O$. If $\angle OAB={27}^{\circ }$ then find $\angle OBC.$

Answer 1

R.E.F image

$\angle CAB=\angle DCA$ (alternate)

$={27}^{\circ }$

and $\angle ACB={90}^{\circ }-{27}^{\circ }={63}^{\circ }$

$\angle CBO={90}^{\circ }$

$\therefore \angle CBO=90-63={27}^{\circ }$