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Regular polygon: a relation between interior and exterior angles given, find the number of sides or the angle

This type of question, asked 5 times: CDS 2 2020, CDS 1 2022, CDS 1 2024, CDS 2 2024, CDS 2 2025. All 5 questions below, oldest first.

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  1. Question 1

    CDS 2 2020

    75
    If the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles, then the polygon is

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  2. Question 2

    CDS 1 2022

    1
    What is the ratio of interior angle to exterior angle of a regular polygon of nn sides?

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  3. Question 3

    CDS 1 2024

    6
    If the difference between the interior and exterior angles of a regular polygon is 144∘144^\circ, then what is the number of sides of the polygon ?

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  4. Question 4

    CDS 2 2024

    95
    The ratio of sum of interior angles to sum of exterior angles of a regular polygon of nn sides is 72\frac{7}{2}. What is the measure of an interior angle of polygon ?

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  5. Question 5

    CDS 2 2025

    73
    The difference between an interior angle and an exterior angle of a regular polygon is 120∘120^\circ. What is the number of sides of the polygon?

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