The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of each angle.

Question

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of each angle.

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Elliana 2 weeks 2021-09-09T14:09:59+00:00 1 Answer 0

Answers ( )

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    2021-09-09T14:11:31+00:00

    Answer: the third angle is 106 degrees.

    The base angles are 37 degrees each.

    Step-by-step explanation:

    In an isosceles triangle, the base angles are equal.

    Let x represent the measure of each of the base angles.

    The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be

    (2x + 32) degrees

    The sum of the angles inna triangle is 180 degrees. It means that

    x + x + 2x + 32 = 180

    4x = 180 – 32

    4x = 148

    x = 37

    The third angle is

    2x = 32 = (2 × 37) + 32

    = 74 + 32 = 106

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