If the interior angle of a regular polygon measures 108° how many sides does a polygon have

Question

Mathematics

Gilmore

21 September, 12:05

If the interior angle of a regular polygon measures 108° how many sides does a polygon have

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Answers (2)

Know the Answer?

Zechariah Hamilton · Answer 1

Zechariah Hamilton 21 September, 13:54

0

A polygon has a total of 5 sides

Alejandra Lopez · Answer 2

5 sides

Step-by-step explanation:

The quickest way to answer this is to use the fact the exterior angles of a polygon add to 360.

If the interior angles are each 108, then the exterior angles are each 180 - 108 = 72. (using the fact that the Interior angle + exterior angle adds to 180)

Next, we just work out 360 : 72 = 5.

So the polygon must have 5 angles, and therefore 5 sides.