Question
Each interior angle of a regular polygon is 135°.
Then find out how many diagonals are there?Solution
Interior angle of polygon = 135° So exterior angle of regular polygon = 180° - 135° = 45° Then total side of polygon = (360°)/(exterior angle) = (360°)/(45°) Total side = 8 Then total Diagonals = n(n - 3)/2 {Where n = side} = (8×5)/2 = 20 Diagonals .
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