Maths-
General
Easy
Question
The measure of an interior angle of a regular polygon is given as 108 degrees. Find the number of sides in the polygon:
- 6
- 5
- 7
- 8
The correct answer is: 5
Sum of the measure of an interior angle= (n-2)180
We have given the measure of an interior angle of a regular polygon is 108. If we multiply n with measure of an interior angle we would get sum of an interior angles of polygon.
108n= 180*(n-2)
108n= 180n-360
180n-108n=360
72n=360
n= 360/72=5.
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