Question
The measure of an angle is five times its complement. The angle measures.

Answer

  1. 75º
    Solution:
    Let the measure of the required angle be xº
    Then, the measure of its complement will be (90 − x)º
    Therefore, x = 5 (90 - x)
    ⇒ x = 450 - 5x
    ⇒ 6x = 450
    ⇒ x = 75º.

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