find the measures of the angles of an isosceles triangle with a vertex angle of 42 degrees

Question

find the measures of the angles of an isosceles triangle with a vertex angle of 42 degrees

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Kylie 1 month 2021-10-09T22:53:20+00:00 1 Answer 0 views 0

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    2021-10-09T22:54:45+00:00

    Answer:

    69°, 69°, and 42°

    Step-by-step explanation:

    Isosceles triangles have three angles — one vertex angle and two base angles.

    The base angles have the same measure and the vertex angle has a different measure.

    Remember all triangles’ interior angles sum to 180°.

    If the vertex angle is 42°, then the two base angles combined are:

    180° – 42° = 138°

    Since the base angles are the same, each base angle is:

    138° ÷ 2 = 69°

    Therefore the angles in the triangle measure 69°, 69°, and 42°.

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