If the measure of an exterior angle of a regular polygon is 15 how many sides does it have to show your work

what is the measure of an interior angle show work

Question

Enzo

Mathematics

31 January, 23:44

If the measure of an exterior angle of a regular polygon is 15 how many sides does it have to show your work

what is the measure of an interior angle show work

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Answers (1)

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Checkers · Answer 1

Answer: 24 sides

Interior Angle: 165°

Step-by-step explanation:

The sum of all exterior angles of a polygon equals 360 degrees.

Therefore if a regular polygon has exterior angles of 15 degrees then the number of sides must be 360/15 = 24

The total of the interior angles would be 3960 degrees, which you would divide by 24, the number of sides there are.

If the measure of an exterior angle of a regular polygon is 15 how many sides does it have to show your workwhat is the measure of an interior angle show work

If the measure of an exterior angle of a regular polygon is 15 how many sides does it have to show your work

what is the measure of an interior angle show work