Question

In the figure,$\angle EFB={66}^{\circ },\angle BFO={43}^{\circ },\angle OGF={23}^{\circ },\angle OGD=y$.Find the value of $y$

Answer 1

Taking $AB||CD$ and $HE$ as transversal

$\because$ corresponding angles are equal

$\angle EFB=\angle FGD={66}^{\circ }$

$\angle OGD=\angle FGD-\angle OGD$

$\Rightarrow y={66}^{\circ }-{23}^{\circ }$

$\Rightarrow y={43}^{\circ }$