SOLUTION: Each interior angle of a regular polygon is 160°. Find the number of diagonals,

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Question 198094: Each interior angle of a regular polygon is 160°. Find the number of diagonals,
Answer by J2R2R(94) About Me  (Show Source):
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If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees.

The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

Since a diagonal connects two opposite vertices, the number of diagonals is 9.