Question 1

What is the measure of the complement of an angle measuring $45^{\circ}$?

Accepted Answer

The sum of complementary angles is $90^{\circ}$. Therefore, the complement of $45^{\circ}$ is $90^{\circ} - 45^{\circ} = 45^{\circ}$.

Question 2

What is the measure of the supplement of an angle measuring $60^{\circ}$?

Accepted Answer

The sum of supplementary angles is $180^{\circ}$. Therefore, the supplement of $60^{\circ}$ is $180^{\circ} - 60^{\circ} = 120^{\circ}$.

Question 3

Two angles whose sum is $90^{\circ}$ are called:

Accepted Answer

When the sum of the measures of two angles is $90^{\circ}$, the angles are called complementary angles.

Question 4

Two angles whose sum is $180^{\circ}$ are called:

Accepted Answer

When the sum of the measures of two angles is $180^{\circ}$, the angles are called supplementary angles.

Question 5

Which of the following pairs of angles is a linear pair?

Accepted Answer

A linear pair is a pair of adjacent angles whose sum is $180^{\circ}$. Thus, two supplementary adjacent angles form a linear pair.

Lines and Angles