Question
The size of each interior angle of a regular polygon is 135°. Find the number of sides of the polygon
Answers
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The formula for the size of each interior angle of a regular polygon is:
180(n-2)/n
where n is the number of sides of the polygon.
So we can set up an equation:
180(n-2)/n = 135
Simplifying, we get:
180n - 360 = 135n
45n = 360
n = 8
Therefore, the polygon has 8 sides.
180(n-2)/n
where n is the number of sides of the polygon.
So we can set up an equation:
180(n-2)/n = 135
Simplifying, we get:
180n - 360 = 135n
45n = 360
n = 8
Therefore, the polygon has 8 sides.