Question
Each interior angle of a regular polygon is 60° more
than its exterior angle, then find its number of sides.Solution
Given: Each interior angle of a regular polygon is 60° more than its exterior angle. According to the question, Interior = 60° + exterior     ... (1) Interior angle + Exterior angle = 180° Interior + exterior = 180     ... (2) On solving equation (1) and (2): We get, No of side = 360°/Exterior angle Exterior angle = 60° No of side = 360°/60° =6 =6
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