Chapter 12: Q6. (page 689)

In Exercises 6 and 7, use the given information to find $m ∠ 2$ .
$∠ 1$ and $∠ 2$ arecomplementary angles, and $m ∠ 1 = 45 °$ .

Short Answer

Expert verified

The measure of angle $m ∠ 2$ is $45 °$ .

Step by step solution

Step 1. Given Information.

$m ∠ 1 = 45 °$

Step 2. Concept used.

If the sum of two angles is $90 °$ then the angles are called complementary angles and if the sum is $180 °$ then the angles are called supplementary angles.

Step 3. Calculation.

Since $∠ 1$ and $∠ 2$ are complementary angles.

$\begin{matrix} m ∠ 1 + m ∠ 2 = 90 ° \\ 45 ° + m ∠ 2 = 90 ° \\ m ∠ 2 = 90 ° - 45 ° \\ = 45 ° \end{matrix}$

Step 4. Conclusion.

The measure of the angle that is complementary to an angle measuring $45 °$ is $45 °$ .

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In Exercises 6 and 7, use the given information to find $m ∠ 2$ .
$∠ 1$ and $∠ 2$ arecomplementary angles, and $m ∠ 1 = 45 °$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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In Exercises 6 and 7, use the given information to find m∠2.∠1 and ∠2 arecomplementary angles, and m∠1=45°.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Decision Maths

Logic and Functions

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In Exercises 6 and 7, use the given information to find $m ∠ 2$ .
$∠ 1$ and $∠ 2$ arecomplementary angles, and $m ∠ 1 = 45 °$ .