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Answers without the blur. Sign up and see all textbooks for free! Q45.

Expert-verified Found in: Page 691 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Multiple Choice: If $\angle 1$ and $\angle 2$ are complementary angles, what could their measures be? $\begin{array}{c}A.\text{}m\angle 1=36°\\ m\angle 2=24°\end{array}$ $\begin{array}{c}B.\text{}m\angle 1=52°\\ m\angle 2=38°\end{array}$ $\begin{array}{c}C.\text{}m\angle 1=61°\\ m\angle 2=61°\end{array}$ $\begin{array}{c}D.\text{}m\angle 1=89°\\ m\angle 2=91°\end{array}$

The correct option is option B.

See the 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. ### Want to see more solutions like these? 