1. Measuring Angles

Work each problem.

Consider each angle in standard position having the given radian measure. In what quadrant does the terminal side lie?

4

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

2

If an angle measures $1°$, which of the following angles is supplementary to it?

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

0.3417

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).

56° 25'

CONCEPT PREVIEW Name the corresponding angles and the corresponding sides of each pair of similar triangles. (EA is parallel to CD.)

Find the measure of each marked angle.

Convert each radian measure to degrees.

8π/3

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 30°

Find the measure of each marked angle. See Example 2.

Find each exact function value. See Example 3.

tan (-14π/ 3)

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

175°

Find the measure of each marked angle. See Example 2 complementary angles with measures 9𝓍 + 6 and 3𝓍 degrees

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).

139° 10'

CONCEPT PREVIEW Name the corresponding angles and the corresponding sides of each pair of similar triangles. (HK is parallel to EF.)