1. Measuring Angles

Through how many radians does the minute hand on a clock rotate in (a) 12 hr and (b) 3 hr?

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

CONCEPT PREVIEW In each figure, find the measures of the numbered angles, given that lines m and n are parallel.

If one angle measures $3°$, which of the following angles is complementary to it?

Which type of angle has a measure greater than $90°$ and less than $180°$?

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

Which angle is complementary to $4°$?

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

39°

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

Convert each radian measure to degrees. See Examples 2(a) and 2(b). ―7π/20

Which of the following pairs of angles are supplementary to each other?

Which angle is supplementary to $4°$?

Length of a Shadow If a tree 20 ft tall casts a shadow 8 ft long, how long would the shadow of a 30-ft tree be at the same time and place?

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