Question
An angle is 14º more than its complement. Find its measure.

Answer

  1. 52º
    Solution:
    Let the angle = x
    Its complement = 90º - x
    According to the question, x is 14° more than its complement,
    ⇒ x = (90° - x) + 14°
    ⇒ x + x = 104°
    ⇒ 2x = 104°
    $\Rightarrow\ \text{X}=\frac{104^\circ}{2}=52^\circ$

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