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?

3

Find the complement & supplement of a $45°$ angle.

Complement: ____

Supplement: ____

Concept Check Classify each triangle as acute, right, or obtuse. Also classify each as equilateral, isosceles, or scalene. See the discussion following Example 2.

Find each exact function value. See Example 3.

sin 5π/6

The measure of an angle is $44°$. What is the measure of its complementary angle?

If two angles are supplementary and one angle measures $65°$, what is the measure of its supplementary angle?

If angles $a$ and $b$ are complementary and $a=34$ degrees, what is the value of $b$ in degrees?

An angle measures $35°$. What is the measure of its complement?

If $\mathrm{angle}1$ and $\mathrm{angle}2$ are complementary and congruent, what is the measure of $\mathrm{angle}1$?

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

3.06

Which of the following best describes supplementary angles?

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

Convert each radian measure to degrees. See Examples 2(a) and 2(b). 11π/30

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

9.84763

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

42.5°