Two complimentary angles are in the ratio 4:5 . find the angle

Question

Two complimentary angles are in the ratio 4:5 . find the angle

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Katherine 1 week 2021-11-21T16:11:17+00:00 2 Answers 0

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    0
    2021-11-21T16:12:37+00:00

    40 degrees and 50 degrees because it will change by the ratio

    0
    2021-11-21T16:12:57+00:00

    Answer:

    40° and 50°

    Step-by-step explanation:

    Sum the parts of the ratio, 4 + 5 = 9 parts

    Complementary angle sum to 90°

    Divide 90° by 9 to find the value of one part of the ratio

    90 ÷ 9 = 10° ← value of 1 part, thus

    4 parts = 4 × 10° = 40°

    5 parts = 5 × 10° = 50°

    The angles are 40° and 50°

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