Q11 of 59 Page 195

The ratio of measurement of an interior angle and an exterior angle of polygon is 3:2. Let’s write the number sides of the polygon.

We know the basic formula for the measure of each exterior and interior angles of a regular polygon.


Measure of each exterior angle = 360 / n


Ratio of interior angle to exterior angle = 3:2






2n – 4 = 3 × 2


2n – 4 = 6


2n = 6 + 4


2n = 10


n = 10 / 2


n = 5


Hence the regular polygon with the ratio of interior angle to exterior angle of 3:2 has total number of sides equal to 5 and it is a pentagon.


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