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Q: What is the exterior and interior angles of a polygon with 30 sides?

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...eight interior and exterior angles. ANGLES

If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.

Interior angles are angles formed by two adjacent sides on the inside of a polygon. An exterior angle is the supplement of the interior angle.

Exterior angle 12 degrees Interior angle 168 degrees

Exterior angles = 360 degrees Interior angles = 2340 degrees

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...eight interior and exterior angles. ANGLES

Four sides

Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!

If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.

Exterior angles are 7.5 There are 48 sides.

4 such as a square

The sum of what of a 92 sided polygon? The lengths of the sides? The exterior angles? The interior angles?

The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.

If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.

Interior angles are angles formed by two adjacent sides on the inside of a polygon. An exterior angle is the supplement of the interior angle.

That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.

Exterior angle 12 degrees Interior angle 168 degrees

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