Chapter 4.1, Problem 34E

a.

To determine

To find : The complement and supplement of ${130}^{°}$

Answer to Problem 34E

Complement of ${130}^{°}$ not exist.

Supplement of ${130}^{°}$ is ${50}^{°}$ .

Explanation of Solution

Given information:

The degree measure of angle is ${130}^{°}$

Concept and Formula Used:

Complementary angles- Pair of angles with sum equal to ${90}^{°}$

Supplementary angles- Pair of angles with sum equal to ${180}^{°}$

Calculation:

The measure of the angle is ${130}^{°}$ .

As ${130}^{°}$ is greater than ${90}^{°}$ therefore complement of angle not exist

Supplement of angle is $={180}^{°}-{130}^{°}={50}^{°}$

Conclusion:

Complement of ${130}^{°}$ not exist.

Supplement of ${130}^{°}$ is ${50}^{°}$ .

b.

To determine

To find : The complement and supplement of ${170}^{°}$

Answer to Problem 34E

Complement of ${170}^{°}$ not exist.

Supplement of ${170}^{°}$ is ${10}^{°}$ .

Explanation of Solution

Given information:

The degree measure of angle is ${170}^{°}$

Concept and Formula Used:

Complementary angles- Pair of angles with sum equal to ${90}^{°}$

Supplementary angles- Pair of angles with sum equal to ${180}^{°}$

Calculation:

The measure of the angle is ${170}^{°}$ .

As ${170}^{°}$ is greater than ${90}^{°}$ therefore complement of angle not exist

Supplement of angle is $={180}^{°}-{170}^{°}={10}^{°}$

Conclusion:

Complement of ${170}^{°}$ not exist.

Supplement of ${170}^{°}$ is ${10}^{°}$ .