Question

The given figure shows a square and regular pentagon. Find the value of x in the following figure.

• A. 64°
• B. 72°
• C. 90°
• D. 54°

Answer 1

The correct option is D

54°

As we know that in regular pentagon, the value of each angle is

$\left\{\frac{(2n-4)}{n}\right\}\times {90}^{\circ }={108}^{\circ }$

Each angle in the square is equal to ${90}^{\circ }$.

So, the value of $x={360}^{\circ }-({108}^{\circ }+{108}^{\circ }+{90}^{\circ })$

$={54}^{\circ }$