If the angles of a five-sided polygon are in the ratio 2:3:3:5:5, what is the measure of the
smallest angle?
a) 20
b) 40
c) 60
d) 80
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Concept:
Since it is mention in question that it is a five- sided polygon which means it has five sides and the angle sum property of a 5 sided polygon states that the sum of all angles will be .
Given:
Given ratio is 2:3:3:5:5.
Find:
We have find the measure of the smallest angle.
Solution:
Let the 5 angles be 2x, 3x, 3x, 5x and 5x respectively.
Using angle sum property:
2x + 3x + 3x + 5x + 5x = 540º
=> 18x = 540
=> x = 30
Now, the smallest angle is 2x = 2(30) = 60º
Hence, the final answer is (c) 60.
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