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

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 $n=4$: $\frac{(4-2)\times180^\circ}{4}$

Step3: Calculate the value

$\frac{2\times180^\circ}{4} = \frac{360^\circ}{4} = 90^\circ$

Answer:

$90$