The difference of complementary angles is 10⁰. Find the measures of the angle.​

Question

The difference of complementary angles is 10⁰. Find the measures of the angle.​

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Huyền Thanh 3 years 2021-08-27T11:36:21+00:00 2 Answers 11 views 0

Answers ( )

    0
    2021-08-27T11:37:59+00:00

    Answer:

    40° and 50°

    Step-by-step explanation:

    Complementary angles sum to 90°

    let x be one angle then x – 10 is the other, their sum is

    x + x – 10 = 90

    2x – 10 = 90 ( add 10 to both sides )

    2x = 100 ( divide both sides by 2 )

    x = 50

    Then angles are 50° and 50° – 10° = 40°

    0
    2021-08-27T11:38:01+00:00

    Answer:

    50° and 40°

    Step-by-step explanation:

    Since complementary angles are 90°, the angles combined have to equal to 90.

    50 – 40 = 10

    40 + 10 = 50

    50 + 40 = 90

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