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The measures of two complementary angles are

12q-9

and

8q+14

Find the measures of the angles.

+1
Answers (2)
  1. 9 June, 02:23
    0
    4 1/4

    Step-by-step explanation:

    Complementary angles add up to 90 degrees.

    Thus if 12q - 9 and 8q + 14 are complementary,

    12q - 9 + 8q + 14 = 90.

    Combining like terms, we get:

    20q + 5 = 90

    20q = 85

    Thus, q = 85/20, or 17/4, or 4 1/4
  2. 9 June, 04:07
    0
    42 and 48

    Step-by-step explanation:

    ∵ Two angles are complementary to each other if their sum is 90°,

    Given,

    12q - 9 and 8q + 14 are complementary angles,

    By the above statement,

    12q - 9 + 8q + 14 = 90

    Combine like terms,

    20q + 5 = 90

    Subtract both sides by 5,

    20q = 85

    Divide both sides by 20,

    q = 4.25,

    Thus, the angles are,

    12 (4.25) - 9 and 8 (4.25) + 14

    ⇒ 42 and 48
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