Chapter 12: Q7. (page 689)

In Exercises 6 and 7, use the given information to find $m ∠ 2$ .
$∠ 1$ and $∠ 2$ aresupplementary angles, and $m ∠ 1 = 160 °$ .

Short Answer

Expert verified

The measure of angle $m ∠ 2$ is $20 °$ .

Step by step solution

Step 1. Given Information.

$m ∠ 1 = 160 °$

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 supplementary angles.

$\begin{matrix} m ∠ 1 + m ∠ 2 = 180 ° \\ 160 ° + m ∠ 2 = 180 ° \\ m ∠ 2 = 180 ° - 160 ° \\ = 20 ° \end{matrix}$

Step 4. Conclusion.

The measure of the angle that is supplementary to an angle measuring $160 °$ is $20 °$ .

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In Exercises 6 and 7, use the given information to find $m ∠ 2$ .
$∠ 1$ and $∠ 2$ aresupplementary angles, and $m ∠ 1 = 160 °$ .

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 aresupplementary angles, and m∠1=160°.

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

Pure Maths

Applied Mathematics

Decision Maths

Statistics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

In Exercises 6 and 7, use the given information to find $m ∠ 2$ .
$∠ 1$ and $∠ 2$ aresupplementary angles, and $m ∠ 1 = 160 °$ .