SOLUTION: one interior angle of a regular polygon is 135 degrees (i)calculate the size of exterior angle
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Question 798275: one interior angle of a regular polygon is 135 degrees (i)calculate the size of exterior angle
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
An interior angle of a polygon and the corresponding exterior angle are supplementary. They add up to
So the exterior angle measures
EXTRA INFORMATION:
As you go around a polygon, an exterior angle is the change of direction as you "turn the corner". One whole turn around the polygon is , so all the exterior angles add up to .
In a regular polygon, all angles have the same measure, so after you turn your direction by at vertices, you will have made a complete
turn around the polygon and will be going in the direction you started (and on the side you started).
That polygon has 8 vertices (and 8 sides). It's an octagon, just like a STOP sign.
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