Question

$ABCDE$ is a pentagon in which $AE$ is parallel to $BC,\angle C={153}^{\circ },\angle D=x^{\circ }$ and $\angle E={\left(2x\right)}^{\circ }$. Find the value of $x$.

• A. $x=88$
• B. $x=69$
• C. $x=61$
• D. $x=55$

Answer 1

The correct option is B $x=69$

Here $AE$ is parallel to $BC$, so $\angle A+\angle B=$ $180°$

Sum of all angle of pentagon is $540°$.

$\Rightarrow \angle E+\angle D+\angle C=540-180°$

$\Rightarrow 2x+x+153=360°$

$\Rightarrow x=69°$