Question

Refer to the figure above and calculate the value of $x$, if one angle is a right angle.

• A. $54$
• B. $56.25$
• C. $60$
• D. $67.5$
• E. $72$

Answer 1

The correct option is D $67.5$

We know, by angle sum property, the sum of angles of a quadrilateral is ${360}^o$.

$\therefore {90}^o+2x+x+x={360}^o$

$\Rightarrow 4x={360}^o-{90}^o$

$\Rightarrow 4x={270}^o$

$\Rightarrow x=\frac{{270}^o}{4}={67.5}^o$.

Therefore, option $D$ is correct.