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

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A Regular Polygon

octagon interior=135 exterior=45

An equilateral triangle.

A quadrilateral.

Square or rectangle

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

hexagon

4 such as a square

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

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

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

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