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An angle is a multiple or fraction of its supplement or complement: find the angles

This type of question, asked 2 times: CDS 2 2018, CDS 2 2025. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2018

    87
    If two lines AB and CD intersect at O such that ∠AOC=5∠AOD\angle AOC = 5 \angle AOD, then the four angles at O are

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  2. Question 2

    CDS 2 2025

    74
    An angle θ\theta is exactly one-fourth of its complementary angle. What is the value of angle θ\theta ?

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