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Nata [24]
3 years ago
6

The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the poly

gon?
Mathematics
1 answer:
dimaraw [331]3 years ago
5 0
First thing you must do is find the number of sides of the polygon.
The sum of all the exterior angles of a polygon is always 360°.
360/15 = 24
The polygon has 24 sides.

The formula for the sum of the interior angles of a polygon is:
180(n - 2)
Where n is the number of sides.

180(24 - 2)
180(22)
3960

The sum of the measure of the interior angles of the polygon is 3960.
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