Question

the diagram shows a regular polygon. what is the value of ( x )? write your answer as an integer or as a decimal rounded to the nearest tenth. ( x = square^circ )

Explanation:

Step1: Identify polygon sides count

The shape is a 4-sided regular polygon (square).

Step2: Use interior angle formula

Formula for interior angle of regular $n$-gon: $\frac{(n-2)\times180^\circ}{n}$
Substitute $n=4$:
$\frac{(4-2)\times180^\circ}{4}=\frac{2\times180^\circ}{4}$

Step3: Calculate the value

$\frac{360^\circ}{4}=90^\circ$

Answer:

$90$