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:

Step1: Identify the polygon type

The diagram shows a regular triangle (equilateral triangle), so the number of sides \( n = 3 \).

Step2: Use the formula for interior angles of a regular polygon

The formula for the measure of each interior angle of a regular polygon is \( \frac{(n - 2)\times180^{\circ}}{n} \). Substitute \( n = 3 \):

$$ \frac{(3 - 2)\times180^{\circ}}{3}=\frac{1\times180^{\circ}}{3} = 60^{\circ} $$

Answer:

\( 60 \)