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\\) °

Explanation:

Step1: Identify polygon type

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

Step2: Use interior angle formula

For an $n$-sided regular polygon, interior angle is $\frac{(n-2)\times180^\circ}{n}$. 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:

$90$