1. Measuring Angles

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 54°

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

If the measure of an angle is $39°$, what is the measure of its complementary angle?

Find each exact function value. See Example 3.

sin (-8π/ 3)

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

Which of the following pairs of angles is supplementary?

Convert each degree measure to radians. Leave answers as multiples of π.

800°

Solve each problem. See Example 5. Height of a Building A house is 15 ft tall. Its shadow is 40 ft long at the same time that the shadow of a nearby building is 300 ft long. Find the height of the building.

Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).

-5.01095

CONCEPT PREVIEW Name the corresponding angles and the corresponding sides of each pair of similar triangles.

If an angle measures $35°$, which angle is complementary to it?

If angle $b$ measures $60°$, what is the measure of the angle that is complementary to angle $b$?

Find the unknown side lengths in each pair of similar triangles.

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

Find the measure of each marked angle.