Question

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

• A. ${30}^{\circ }$
• B. ${35}^{\circ }$
• C. ${40}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

The correct option is B

${35}^{\circ }$

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

$\angle GHB=\angle EGD$
(Corresponding angles)

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

$\Rightarrow x={35}^{\circ }$