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 triangle (equilateral triangle), so each interior angle is $60^\circ$.

Step2: Use linear pair property

A linear pair of angles sums to $180^\circ$. Let the interior angle be $60^\circ$, then $x + 60^\circ = 180^\circ$.

Step3: Solve for x

$x = 180^\circ - 60^\circ = 120^\circ$.

Answer:

$120$