Chapter 12: Q45. (page 691)

Multiple Choice: If $∠ 1$ and $∠ 2$ are complementary angles, what could their measures be?
$\begin{matrix} A . m ∠ 1 = 36 ° \\ m ∠ 2 = 24 ° \end{matrix}$ $\begin{matrix} B . m ∠ 1 = 52 ° \\ m ∠ 2 = 38 ° \end{matrix}$ $\begin{matrix} C . m ∠ 1 = 61 ° \\ m ∠ 2 = 61 ° \end{matrix}$ $\begin{matrix} D . m ∠ 1 = 89 ° \\ m ∠ 2 = 91 ° \end{matrix}$

Short Answer

Expert verified

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.

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

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Multiple Choice: If ∠1and ∠2are complementary angles, what could their measures be?A.m∠1=36°m∠2=24° B.m∠1=52°m∠2=38° C.m∠1=61°m∠2=61° D.m∠1=89°m∠2=91°

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.