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 polygon type

The shape is a regular 3-sided polygon (equilateral triangle).

Step2: Use angle sum formula

Sum of interior angles: $(n-2)\times180^\circ$, where $n=3$.
$\text{Sum}=(3-2)\times180^\circ=180^\circ$

Step3: Calculate single interior angle

Divide sum by number of angles:
$x=\frac{180^\circ}{3}=60^\circ$

Answer:

$60$