Question
A regular polygon has 18 sides. What is the size of each of its interior angles?
Answer
4.7
(198 Votes)
Stuart
Master · Tutor for 5 years
Answer
Implementing the formula will give us the measure of each interior angle of the polygon.Interior angle = [(18-2) × 180°] / 18 = [16 × 180°] / 18 = 160°So, the size of each interior angle in the regular 18-sided polygon is 160°.
Explanation
The question asks for the measure of each interior angle of a regular 18-gon (18-sided polygon). In a regular polygon, all the interior angles are equal. Thus, we need to use the formula: (interior angle) = [(n-2) × 180°] / nHere n represents the number of sides in the polygon, which is 18 in this case.