One of the interior opposite angles of a triangle is 40°. If the measure of the exterior angle is 120°, find the measure of the

Question

One of the interior opposite angles of a triangle is 40°. If the measure of the exterior

angle is 120°, find the measure of the other two angles of the triangle.

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Nevaeh 1 week 2021-10-04T17:23:33+00:00 2 Answers 0 views 0

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    0
    2021-10-04T17:24:37+00:00

    Answer:

    120° =40° +x

    so

    x=80°

    now third angle of triangle is =180-120=60°

    so angles are 40,60,80

    hope it helped 🙂

    0
    2021-10-04T17:24:58+00:00

    Exterior angle = sum of opposite interior angles

    Let the other opposite interior angle be x.

    120 = 40 + x

    x = 120 – 40

    x = 80°

    Sum of all angles in a triangle is 180°

    Let the other angle in the triangle be y

    40 + 80 + y = 180

    120 + y = 180

    y = 180 – 120

    y = 60°

    Answer: The other 2 angles are 80° and 60°

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