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Two angles with a given sum and difference in degrees and radians

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

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  1. Question 1

    CDS 2 2020

    51
    The difference between two angles is 15∘15^\circ and the sum of the angles in radian is 5π12\dfrac{5\pi}{12}. The bigger angle is k times the smaller angle. What is k equal to ?

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  2. Question 2

    CDS 2 2025

    36
    The difference between the two acute angles in a right-angled triangle is π12\dfrac{\pi}{12} radian. One of the acute angles of the triangle is

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