Best Answer

Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W

Interior angle regular polygon = 180° - exterior angle regular polygon

= 180° - (360° ÷ number of sides )

= 180° - (360° ÷ W)

Q: How do you work out the exterior and interior angles of a regular polygon with W sides?

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Square or rectangle

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle

360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360

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

Exterior angle 12 degrees Interior angle 168 degrees

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octagon interior=135 exterior=45

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Hint: in a regular polygon interior plus exterior = 180o, always.

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.

hexagon

4 such as a square

Exterior angles are supplementary with interior angles, so 180-30=150

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 exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle