the diagram shows a regular polygon. what is the value of x? write your answer as an integer or as a decimal…

Explanation:

Step1: Recall polygon - angle formula

For a regular polygon, the sum of interior angles formula is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides. Here $n = 3$ (it's a triangle).

Step2: Calculate sum of interior angles

$S=(3 - 2)\times180^{\circ}=180^{\circ}$.

Step3: Since it's a regular triangle (equilateral triangle)

All interior angles are equal. Let the interior angle be $x$. So $x=\frac{180^{\circ}}{3}$.

Answer:

$60$