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25 June, 15:48

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.

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  1. 25 June, 19:42
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    - Two angles that are complements of each other add to equal 90 degrees (they are complementary angles).

    - One angle measures x degrees.

    - The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

    To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

    90 = x + (4x + 25)

    90 = x + 4x + 25

    90 = 5x + 25

    65 = 5x

    13 = x

    If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

    4x + 25

    4 (13) + 25

    52 + 25

    77

    Answer:

    x = 13

    m∠x = 77°
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