Question

In the given figure $AB||CD$ and $CD||EF$. Also $EA\perp AB$. If $\angle BEF={55}^{\circ }$ find the values of $x,y$ and $z$.

Answer 1

Extend BE to G.

Now $\angle GEF={180}^o-{55}^o$ Linear pair
$={125}^o$

Also $\angle GEF=x=y={125}^o$ Corresponding angles

Now, $z={90}^o-{55}^o$ Right angle
$={35}^o$