Question

In the given alongside :
If $\angle BOC=\angle DOC={34}^o$ and $\angle AOD={120}^o$, find $AOB$ and angle $AOC$.

Answer 1

REF. Image.

Given :-

$2\theta +\alpha =120$

$\theta ={34}^{\circ }$

so, $\alpha ={52}^{\circ }$

Hence we get $\angle AOB=\alpha ={52}^{\circ }$

$\angle AOC=\alpha +\theta ={86}^{\circ }$