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Angles of a triangle in a given ratio: find the angles

This type of question, asked 2 times: CDS 1 2017, CDS 2 2020. All 3 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    72
    The angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

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  2. Question 2

    CDS 2 2020

    71
    In a triangle, values of all the angles are integers (in degree measure). Which one of the following cannot be the proportion of their measures ?

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  3. Question 3

    CDS 2 2020

    78
    In a triangle ABC, if 2∠A=3∠B=6∠C2 \angle A = 3 \angle B = 6 \angle C, then what is ∠A+∠C\angle A + \angle C equal to ?

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