Question

In parallelogram ABCD, if $\angle A=2x+{15}^{\circ },\angle B=3x-{25}^{\circ },$ then value of $x$ is :

• A. ${91}^{\circ }$
• B. ${89}^{\circ }$
• C. ${34}^{\circ }$
• D. ${38}^{\circ }$

Answer 1

The correct option is D ${38}^{\circ }$

Given the parallelogram ABCD.

In case of a parallelogram the sum of adjacent angles will be $180°$

i.e, $\angle A+\angle B=180°$

$\Rightarrow 2x+15+3x-{25}^o=180°$

$\therefore 5x=190°$

i.e, $x=38°$

Hence, the answer is $38°.$