In △ABC , m∠A=72° , m∠B=(8y−16)° , and m∠C=(9x)° . Isosceles triangle ABC. AB is the base, lateral sides AC and CB are marked congruent.

Question

In △ABC , m∠A=72° , m∠B=(8y−16)° , and m∠C=(9x)° . Isosceles triangle ABC. AB is the base, lateral sides AC and CB are marked congruent. What are x and y?

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Bella 2 weeks 2021-10-11T20:09:24+00:00 1 Answer 0

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    2021-10-11T20:10:49+00:00

    ΔABC = isosceles => ∡B = ∡C

    ∡B = ∡C = (180°-72°) : 2 = 108° : 2 = 54°

    ∡B = 54° = 8Y – 16

    54 + 16 = 8Y

    70 = 8Y

    Y = 8.75°

    ∡C = 54° = 9X

    X = 54 : 9

    X = 6°

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