One angle of a triangle measures 50°. The other two angles are in a ratio of 9:17. What are the measures of those two angles?

Question

One angle of a triangle measures 50°. The other two angles are in a ratio of 9:17. What are
the measures of those two angles?

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Thái Dương 3 months 2021-07-24T15:00:33+00:00 1 Answers 0 views 0

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    2021-07-24T15:01:51+00:00

    Answer:

    The measures of those two angles are 45 and 85 degrees.

    Step-by-step explanation:

    The three interior angles of a triangle add up to 180 degrees.

    So if one angle is 50 degrees then

    180 – 50 = 130

    The other two angles must add up to 130

    If the ratio is 9:17 that means there must be 26 equal parts

    9 + 17 = 26

    130/26 = 5

    Every part equals 5 so

    9 x 5 = 45

    17 x 5 = 85

    The measure of the two angles are 45 and 85 degrees.

    Hope this helped good luck in the future!

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