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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 $38^{\circ}$ . What is $m∠Q$ in degrees? $\newline$ Use the number pad to enter your answer in the box. $\newline$ $m∠Q=\square^{\circ}$

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Find equations of tangent lines using limits

Full solution

Q.

∠P

and

∠Q

are supplementary angles.

\newline

∠P

and

∠R

are vertical angles.

\newline

∠R

measures

38^{\circ}

. What is

m∠Q

in degrees?

\newline

Use the number pad to enter your answer in the box.

\newline

m∠Q=\square^{\circ}

Supplementary angles: Since $\angle P$ and $\angle Q$ are supplementary angles, their measures add up to $180$ degrees.
Vertical angles: $\angle P$ and $\angle R$ are vertical angles, so they are equal. $\angle R$ is given as $38$ degrees, so $\angle P$ is also $38$ degrees.
Find angle measure: To find $m\angle Q$ , subtract the measure of $\angle P$ from $180$ degrees: $180 - 38 = 142$ degrees.

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