Question

In the given figure AB || CD. If $\angle EGD={140}^{\circ }$ and $\angle GHB=4x$, then find the value of x.

Answer 1

Given, AB || CD.
$\text{Also,}\angle EGD={140}^{\circ }\text{and}\angle GHB=4x$

$\angle GHB=\angle EGD$
(Corresponding angles) [1 Mark]

$\Rightarrow 4x={140}^{\circ }$

$\Rightarrow x={35}^{\circ }$. [1 Mark]