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Suprina /_P and /_Q are supplementary angles. /_P and /_R are vertical angles. /_R measures 38^(@). What is m/_Q in degrees? Use the number pad to enter your answer in the box. m/_Q=◻^(@)

\/_P and \/_Q are supplementary angles.\newline\/_P and \/_R are vertical angles.\newline\/_R measures 38∘38^{\circ}. What is m\/_Q in degrees?\newlineUse the number pad to enter your answer in the box.\newlinem\/_Q=\square^{\circ}

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Q. \/_P and \/_Q are supplementary angles.\newline\/_P and \/_R are vertical angles.\newline\/_R measures 38∘38^{\circ}. What is m\/_Q in degrees?\newlineUse the number pad to enter your answer in the box.\newlinem\/_Q=\square^{\circ}
  1. Supplementary angles: Since ∠P\angle P and ∠Q\angle Q are supplementary angles, their measures add up to 180180 degrees.
  2. Vertical angles: ∠P\angle P and ∠R\angle R are vertical angles, so they are equal. ∠R\angle R is given as 3838 degrees, so ∠P\angle P is also 3838 degrees.
  3. Find angle measure: To find m∠Qm\angle Q, subtract the measure of ∠P\angle P from 180180 degrees: 180−38=142180 - 38 = 142 degrees.

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