Question

In the given Fig,
If $AB\parallel CD,EF\perp CDand\angle GED={126}^{\circ },$ Find $\angle AGE,\angle GEF,\angle FGE$

Answer 1

Given $AB||CDandGE$ is a transversal.

We know that $\angle GED={126}^0,\angle FED={90}^o\Rightarrow \angle GEF=126-90={36}^0$

$\angle AGE=\angle GED={126}^0$ (Alternate angles)

$\angle FGE+\angle AGE=180\Rightarrow \angle FGE=180-126={54}^0$ (Adjacent angles)