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Pepsi [2]
3 years ago
10

The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x. Using the relationship

between interior and exterior angles, find the value of x.
Mathematics
1 answer:
torisob [31]3 years ago
8 0

The value of x is 30

<u><em>Solution:</em></u>

Given that measure of exterior angle of regular polygon is 2x

The measure of interior angle is 4x

To find: value of x

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

measure of exterior angle + measure of interior angle = 180

2x + 4x = 180

6x = 180

x = 30

<em><u>Finding the measure of an exterior angle</u></em>

measure of exterior angle = 2x = 2(30) = 60 degrees

<em><u>Finding the measure of interior angle</u></em>

measure of interior angle = 4x = 4(30) = 120 degrees

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