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Regular polygon: number of sides from its interior or exterior angle

This type of question, asked 4 times: 19 Sep 2025 S2, 19 Sep 2025 S3, 21 Sep 2025 S1, 23 Sep 2025 S2. All 4 questions below, oldest first.

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  1. Question 1

    19 Sep 2025 S2

    67
    If every exterior angle of a regular polygon is 60∘60^\circ, how many sides does the polygon have?

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  2. Question 2

    19 Sep 2025 S3

    68
    A regular polygon has each interior angle measuring 150∘150^\circ. Find the number of its sides

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  3. Question 3

    21 Sep 2025 S1

    72
    If the measure of an exterior angle of a regular polygon is 20∘20^\circ, determine the total number of its sides.

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  4. Question 4

    23 Sep 2025 S2

    58
    If the difference between the interior and exterior angles of a regular polygon is 100∘100^\circ, find the number of sides of the polygon.

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