Question

Multiple Choice: If $\angle 1$and $\angle 2$are complementary angles, what could their measures be?

$\begin{array}{c}A.m\angle 1=36°\\ m\angle 2=24°\end{array}$ $\begin{array}{c}B.m\angle 1=52°\\ m\angle 2=38°\end{array}$ $\begin{array}{c}C.m\angle 1=61°\\ m\angle 2=61°\end{array}$ $\begin{array}{c}D.m\angle 1=89°\\ m\angle 2=91°\end{array}$

Short answer

The correct option is option B.

Step-by-step solution

Step 1. Given information.

It’s given that angle one and angle two are complimentary angles.

Step 2. Formula used.

The sum of complimentary angles is 90 degree.

Step 3. Calculation.

Now, add the angle and check that the sum of angles is 90 degree or not.

Option. A.

$36{}^{\circ }+24{}^{\circ }=60°$

This is the incorrect option.

Option B.

$52{}^{\circ }+38{}^{\circ }=90°$

This is the correct option.

Option C.

$61{}^{\circ }+61{}^{\circ }=122°$

This is not the correct option.

Option D.

$89{}^{\circ }+91{}^{\circ }=180°$

This is not the correct option.

Thus, the correct option is B.