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The fastest way to do this one is see that the exterior angle is 180-175.2=4.8°

Since all exterior angles must add to 360° or a complete circle, take 360/4.8=75

A regular n-gon has a sum of interior angles equal to 180(n-2). An n-gon also has n angles. Therefore, from the problem statement, 180(n-2) = 175.2n, or n = 360/4.8 = 75.

Q: Each interior angle of the regular n-gon has a measure of 175.2 degree find the value of n?

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45 degree

hextogonImproved Answer:-A regular pentagon which has 5 sides

360degrees/335 interior angles=1.075degrees

The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.

135 Each interior angle of a regular octagon measures 135 degrees.

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hextogonImproved Answer:-A regular pentagon which has 5 sides

360degrees/335 interior angles=1.075degrees

Each interior angle will measure 162 degrees

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180 degree( 5-2) is the sum of the interior angles. Now divide this by 5 since it is regular and that tells us all the angles have the same measure.

the formula for an n-sided polygon to find it's interior angle is (n-2)180/n so the answer is 156 degree's.

The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.

If each of its interior angles is a measure of 108 degrees then it will have 5 sides and is called a regular pentagon.

It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line

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