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), which has 3 equal sides and 3 equal angles.

Step2: Recall the angle sum property of a triangle

The sum of the interior angles of a triangle is \(180^\circ\). For a regular (equilateral) triangle, all angles are equal. So we divide the total sum by the number of angles (3).

$$x=\frac{180^\circ}{3}$$

Step3: Calculate the value of \(x\)

$$x = 60^\circ$$

Answer:

\(60\)