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 = \boxed{}^\circ

Explanation:

Step1: Identify polygon type

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

Step2: Use interior angle formula

For a regular $n$-sided polygon, interior angle is $\frac{(n-2)\times180^\circ}{n}$. Substitute $n=3$:
$\frac{(3-2)\times180^\circ}{3}$

Step3: Calculate the value

$\frac{1\times180^\circ}{3}=60^\circ$

Answer:

$60$