One exterior angle of a regular polygon measures 10°. What is the measure of each interior angle? How many sides does the polygon have?
1 Answer
Jan 27, 2016
The interior angles of the regular polygon would each have a measure of
The polygon would have 36 sides.
Explanation:
The interior and exterior angles of a polygon form a linear pair and are therefore supplementary with a sum of
If the exterior angle of polygon is
In order to find the value of the interior angle of a regular polygon the equation is
Given that the interior angle is
Therefore the polygon has 36 sides.