To find the size of each interior angle of a regular polygon, we can use the formula:
Interior angle = (n-2) * 180 / n
where n is the number of sides of the polygon.
Given that the sum of interior angles of a regular polygon is 1080°, we know that:
(n-2) * 180 = 1080
(n-2) = 1080 / 180
n-2 = 6
n = 8
Therefore, the regular polygon has 8 sides, and each interior angle is:
Interior angle = (8-2) * 180 / 8
Interior angle = 6 * 180 / 8
Interior angle = 135°
So, each interior angle of the regular polygon is 135°.
Polygon
The sum of interior angles of a regular polygon is 1080°.
Calculate the size of each interior angle
1 answer