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Angles of a quadrilateral in a given ratio (sum 360): find an angle

This type of question, asked 2 times: 12 Sep 2025 S2, 24 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    12 Sep 2025 S2

    74
    The angles of a cyclic quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?

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  2. Question 2

    24 Sep 2025 S1

    65
    In a quadrilateral ABCD, angles A,B,C are in the ratio 1:2:31:2:3. If angle D=120∘D=120^\circ, what is angle A?

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