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Q45.

Expert-verifiedFound in: Page 691

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?**

** $\begin{array}{c}A.\text{}m\angle 1=36\xb0\\ m\angle 2=24\xb0\end{array}$ $\begin{array}{c}B.\text{}m\angle 1=52\xb0\\ m\angle 2=38\xb0\end{array}$ $\begin{array}{c}C.\text{}m\angle 1=61\xb0\\ m\angle 2=61\xb0\end{array}$ $\begin{array}{c}D.\text{}m\angle 1=89\xb0\\ m\angle 2=91\xb0\end{array}$**

The correct option is **option B.**

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

**The sum of complimentary angles is 90 degree.**

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

Option. A.

$36{}^{\circ}+24{}^{\circ}=60\xb0$

This is the incorrect option.

Option B.

$52{}^{\circ}+38{}^{\circ}=90\xb0$

This is the correct option.

Option C.

$61{}^{\circ}+61{}^{\circ}=122\xb0$

This is not the correct option.

Option D.

$89{}^{\circ}+91{}^{\circ}=180\xb0$

This is not the correct option.

Thus, the correct option is B.

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