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7 June, 05:27

Three angles in a triangle have a ratio of 4:5:9. What is the measure of the smallest angle?

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Answers (2)
  1. 7 June, 06:33
    0
    40 degrees.

    Enjoy the holidays!
  2. 7 June, 07:00
    0
    Answer: 40°

    Step-by-step explanation:

    Sum total of a triangle is supplementary that is, 180°

    Since the angles are represented in ratios, the smallest is 4

    To convert it to angles,

    we add the ratios together

    ie, 4 + 5 + 9 = 18

    Therefore, the smallest angle with ratio 4 is

    ⁴/₁₈ x ¹⁸⁰ = 40°
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