### Complementary Angles

Two angles are **complementary** if they add up to **do not** have to be congruent or adjacent.

What if you were given two angles of unknown size and were told they are complementary? How would you determine their angle measures?

### Examples

#### Example 1

Find the measure of an angle that is complementary to

#### Example 2

Find the measure of an angle that is complementary to

#### Example 3

The two angles below are complementary.

Because the two angles are complementary, they add up to

#### Example 4

The two angles below are complementary. Find the measure of each angle.

The two angles add up to

However, you need to find each angle. Plug

#### Example 5

Find the measure of an angle that is complementary to

Because complementary angles have to add up to

### Review

Find the measure of an angle that is complementary to

4∘ 89∘ 54∘ 32∘ 27∘ (x+y)∘ z∘

Use the diagram below for exercises 8-9. Note that

- Name two complementary angles.

- If
m∠INJ=63∘ , findm∠KNJ .

For 10-11, determine if the statement is true or false.

- Complementary angles add up to
180∘ . - Complementary angles are always
45∘ .

### Review (Answers)

To see the Review answers, open this PDF file and look for section 1.7.