Question

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

Answer 1

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.