Multiple Choice Questions on he ratio of the measures ang A and ang B of a triangle ABC is 3 2 The ratio of the measures of ang B........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

he ratio of the measures ang A and ang B of a triangle ABC is 3 2 The ratio of the measures of ang B...........

Quantitative Aptitude ( CCS) Ratio, Proportion
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    he ratio of the measures ∠A and ∠B of a triangle ABC is 3 : 2. The ratio of the measures of ∠B and ∠C is 4 : 5. Find the measure of largest angle of the triangle ABC.

    72°

    Correct Answer

    78°

    Incorrect Answer

    48°

    Incorrect Answer

    60°

    Incorrect Answer
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    Explanation:

    ∠ A : ∠ B = 3 : 2.

    ∠ B : ∠ C = 4 : 5.

    ∠ A : ∠ B : ∠ C = 6 : 4 : 5.
    actual values are 6x, 4x and

    5x. So 6x + 4x + 5x = 180 → 15x = 180
    → x = 12. So angles are 6(12) = 72,

    4(12) = 48 and 5(12) = 60

    Hence, option 1 is the correct answer.

    By: Amit Kumar
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