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A regular polygon has 18 sides. What is the size of each of its interior angles?

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A regular polygon has 18 sides.
What is the size of each of its interior
angles?

A regular polygon has 18 sides. What is the size of each of its interior angles?

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StuartMaster · Tutor for 5 years

Answer

<br />Implementing the formula will give us the measure of each interior angle of the polygon.<br />Interior angle = [(18-2) × 180°] / 18 = [16 × 180°] / 18 = 160°<br /><br />So, the size of each interior angle in the regular 18-sided polygon is 160°.

Explain

The question asks for the measure of each interior angle of a regular 18-gon (18-sided polygon). <br />In a regular polygon, all the interior angles are equal. Thus, we need to use the formula: <br />(interior angle) = [(n-2) × 180°] / n<br />Here n represents the number of sides in the polygon, which is 18 in this case.
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