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 = \\)
\\(^{\circ}\\)

Explanation:

Identify the polygon and its number of sides

The diagram shows a regular polygon with 4 sides (a square).

$$ n = 4 $$

Calculate the interior angle

$$ x = \frac{(n - 2) \times 180^\circ}{n} = \frac{(4 - 2) \times 180^\circ}{4} = 90^\circ $$

Answer:

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.

\(x =\) <blank>90</blank>\(^\circ\)