For triangle XYZ, m∠X = (3g + 19)° and the exterior angle to ∠X measures (6g + 53)°. Find the measure of ∠X and its exterior angle

Question

For triangle XYZ, m∠X = (3g + 19)° and the exterior angle to ∠X measures (6g + 53)°. Find the measure of ∠X and its exterior angle.

Interior angle = 55°; exterior angle = 125°

Interior angle = 125°; exterior angle = 55°

Interior angle = 53°; exterior angle = 121°

Interior angle = 121°; exterior angle = 53°

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Verity 1 month 2022-12-23T22:04:15+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2022-12-23T22:05:33+00:00
    Answer:
    Interior angle = 55°; exterior angle = 125°
    Step-by-step explanation:
    An interior angle of a triangle and one of its exterior angles are supplementary angles. Their measures have a sum of 180°.
    3g + 19 + 6g + 53 = 180
    9g + 72 = 180
    9g = 108
    g = 12
    m<X = 3g + 19 = 3(12) + 19 = 55
    measure of exterior angle = 6g + 53 = 6(12) + 53 = 125
    Answer: Interior angle = 55°; exterior angle = 125°

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