Question

    type-ssc

    Each interior angle of a regular polygon is 45° more

    than its exterior angle, then find its number of sides.
    A 10 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 14 Correct Answer Incorrect Answer

    Solution

    Given: Each interior angle of a regular polygon is 45° more than its exterior angle. According to the question, Interior = 45° + 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 = 45° No of side = 360°/45° =8 =8

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