CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One degree, written 1°, represents ____________ of a complete rotation.

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One minute, written 1' , is ________________ of a degree.

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 (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 45°

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 (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 10°

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 89°

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 14° 20'

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 50° 40' 50"

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

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

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

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

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

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

Find the measure of each marked angle. See Example 2 supplementary angles with measures 10𝓍 + 7 and 7𝓍 + 3 degrees

Find the measure of each marked angle. See Example 2 supplementary angles with measures 6𝓍 - 4 and 8𝓍 - 12 degrees

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

Find the measure of each marked angle. See Example 2 complementary angles with measures 3𝓍 ― 5 and 6𝓍 ― 40 degrees

Find the measure of the smaller angle formed by the hands of a clock at the following times.

Find the measure of the smaller angle formed by the hands of a clock at the following times. 3:15

Find the measure of the smaller angle formed by the hands of a clock at the following times. 8:20

Perform each calculation. See Example 3. 75° 15' + 83° 32'

Perform each calculation.

110° 25' + 32° 55'

Perform each calculation. See Example 3. 47° 29' ― 71° 18'

Perform each calculation. See Example 3. 90° ― 51° 28'

Perform each calculation. See Example 3. 90° ― 17° 13'

Perform each calculation. See Example 3. 90° ― 36° 18' 47"

Perform each calculation. See Example 3. 55° 30' + 12° 44' ― 8° 15'

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. See Example 4(a). 82° 30'