The measure of an angle for which the measure of the supplement is four times…

2019

The measure of an angle for which the measure of the supplement is four times the measure of the complement is

Answer: C. 60°Let the angle be x degrees. Its supplement is 180 - x and its complement is 90 - x. Given 180 - x = 4(90 - x). Solving gives 180 - x = 360 - 4x, so 3x = 180…

  1. A.

    30°

  2. B.

    45°

  3. C.

    60°

  4. D.

    75°

Attempted by 2 students.

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Correct answer: C

Let the angle be x degrees. Its supplement is 180 - x and its complement is 90 - x. Given 180 - x = 4(90 - x). Solving gives 180 - x = 360 - 4x, so 3x = 180 and x = 60 degrees.

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