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    Question

    Each interior angle of a regular polygon is 60° more

    than its exterior angle, then find its number of sides.
    A 4 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    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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