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Example: a regular 15-gon

The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.

180 x 13 = 2340

There are fifteen angles.

2340/15 = 156

An interior angle of a regular 15-gon is 156 degrees.

There are two ways to find the exterior angles. The interior and exterior angles add up to 180.

180 - 156 = 24.

The exterior angles of any polygon add up to 360.

360/15 = 24

Q: How do you find the measure of an interior and exterior angle of a 15-gon?

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Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12

Each exterior angle: 40 degrees Each interior angle: 140 degrees

never

180-interior angle = exterior angle 360/exterior angle = number of sides

Very rarely.

Related questions

Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle

180-interior angle = exterior angle

The measure of the exterior angle.

With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle

It is: 180-exterior angle = interior angle

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

Each interior angle of a decagon is 144 degrees.An exterior angle is 180 - measure of interior angle.There exterior angle of decagon is 180-144which is equal to-36

by subtracting the interior angle from 360

The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.

That depends on what type of triangle it is but in general:- 180-interior angle = exterior angle

Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12

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