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 = \\)

Explanation:

Identify the regular polygon

Using the Regular Polygon Angles knowledge point

• The diagram shows a regular polygon with 3 sides (an equilateral triangle).
• Number of sides \(n = 3\).

Calculate the interior angle

Using the Interior Angle Formula knowledge point

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

$$ x = \frac{(3 - 2) \times 180^\circ}{3} = \frac{180^\circ}{3} = 60^\circ $$

Answer:

What is the value of \(x\)?

Write your answer as an integer or as a decimal rounded to the nearest tenth.

\(x =\) <blank>60</blank>\(^\circ\)