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Find the measure of the missing angle in each set of complimentary angles.

Find the measure of the missing angle in each set of complimentary angles.-example-1
User Nils Ziehn
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1 Answer

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Both angles are right angles because they measure 90 degrees.

Angles DEG and GEF are complementary, which means they sum 90 degrees.


\begin{gathered} m\angle DEG+m\angle GEF=90 \\ 30.35+m\angle GEF=90 \\ m\angle GEF=90-30.25 \\ m\angle GEF=59.75 \end{gathered}

Therefore, angle GEF measures 59.75.

We use the same process to find angle TRS because it's also a complementary angle.


\begin{gathered} m\angle QRT+m\angle TRS=90 \\ m\angle QRT+24=90 \\ m\angle QRT=90-24 \\ m\angle QRT=66 \end{gathered}

Therefore, angle QRT measures 66.

User Goldensoju
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