1. Measuring Angles

Find two values of θ, 0 ≤ θ < 2𝜋, that satisfy each equation. sin θ = - √2/2

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 each marked angle. See Example 2 supplementary angles with measures 6𝓍 - 4 and 8𝓍 - 12 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'