Question 137

If the interior angles of a five-sided polygon are in the ratio of 2 : 3 : 3 : 5 : 5, then the measure of the smallest angle is

Solution

Let the angles of the pentagon be 2x,3x,3x,5x and 5x

Sum of angles of a pentagon = $$(n-2) * 180$$°

=> 2x+3x+3x+5x+5x = 540°

=> x = 30°

=> Smallest angle = 2*30 = 60°


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