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An angle is equal to one-fifth of its supplement. Find its measure.

  • A.30°
  • B.60°
  • C.90°
  • D.150°

Answer: A

\[ x = \frac{1}{5}(180 - x) \quad\Longrightarrow\quad 5x = 180 - x \]

\[ 6x = 180 \quad\Longrightarrow\quad x = 30^{\circ} \]

Checking: the supplement is 150°, five times as large.

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