The sides of a regular polygon with a known interior angles can be found as follows:
Interior Angle = (n−2) × 180° / n
<h3 /><h3 /><h3>Regular polygon</h3>
A regular polygon is a polygon that have equal sides and equal angles.
A regular polygon has the following angles:
- interior angles
- exterior angles
According to the question, the interior angles are given. To know the number of sides of polygon can be calculated as follows:
Note the interior and the exterior angles add up to 180 degrees.
Therefore,
Interior Angle = 180° − Exterior Angle
Exterior angle = 360°/n
Interior Angle = 180° − 360°/n
n = number of sides
Finally,
- Interior angle = (n−2) × 180° / n
learn more on polygon here:brainly.com/question/7153502?referrer=searchResults
