One angle of a triangle measures 125°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?

Question

One angle of a triangle measures 125°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?

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Kim Cúc 2 weeks 2022-12-27T13:06:57+00:00 1 Answer 0 views 0

Answer ( 1 )

  1. Answer:
    The 2 angles are 10 and 45 degrees.
    Step-by-step explanation:
    Angles in a triangle add up to 180 degrees.
    180 – 125 = 55
    Add the ratios 2+9 = 11
    Divide the left over angels by the ratio: 55/11 = 5
    Now multiply 5 by each side of the ratio:
    2:9
    2*5 = 10
    9*5 = 45
    So the 2 angles are 10 and 45 degrees.
    To check, add up all the angels : 10 + 45 + 125 = 180

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