Question

In the following parallelogram, find the value of $x$.

• A. 11°
• B. 22°
• C. 33°
• D. 44°

Answer 1

The correct option is B 22°

Given that the quadrilateral is a parallelogram.
We know that, in a parallelogram the opposite angles are equal.

$\therefore (-7+4x{)}^o={81}^o$
$\Rightarrow (4x-7{)}^o={81}^o$
$\Rightarrow 4x={81}^o+7^o={88}^o$
$\Rightarrow 4x={88}^o$
$\Rightarrow x=\frac{{88}^o}{4}$
$\Rightarrow x={22}^o$

Hence the value of $x$ is 22${}^o$.