Question

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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 the polygon type

The diagram shows a regular polygon, and from the shape, it's a regular triangle (equilateral triangle? No, wait, regular polygon with 3 sides is equilateral, but also, the sum of interior angles of a polygon is given by \((n - 2)\times180^\circ\), where \(n\) is the number of sides. For a triangle, \(n = 3\).

Step2: Calculate the interior angle

For a regular polygon, each interior angle \(x=\frac{(n - 2)\times180^\circ}{n}\). Substituting \(n = 3\), we get \(x=\frac{(3 - 2)\times180^\circ}{3}=\frac{180^\circ}{3}=60^\circ\).

Answer:

\(x = 60\)