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Question

The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find the measure of each exterior angle and

A
40
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B
50
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C
30
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D
45
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Solution

The correct option is B 30
Given the measure of each interior angle of a regular polygon is five times the measure of its exterior angle.

Each interior angle of a regular polygon = 180o(n2)n where n= number of sides of polygon

Each exterior angle of a regular polygon = 360on

According to question,

180o(n2)n=5×360on

n2=10

n=12

Each exterior angle of a regular polygon = 360on=360o12=30o

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