### Supplementary Angles

Two angles are **supplementary** 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 supplementary? How would you determine their angle measures?

### Examples

#### Example 1

Find the measure of an angle that is supplementary to

#### Example 2

Find the measure of an angle that is supplementary to

#### Example 3

The two angles below are supplementary. If

Set up an equation. However, instead of equaling

#### Example 4

What are the measures of two congruent, supplementary angles?

Supplementary angles add up to

#### Example 5

Find the measure of an angle that is a supplementary to

Because supplementary angles have to add up to

### Review

Find the measure of an angle that is supplementary to

114∘ 11∘ 91∘ 84∘ 57∘ x∘ (x+y)∘

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

- Name two supplementary angles.

- If
m∠INJ=63∘ , findm∠JNL .

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

- Supplementary angles add up to
180∘ .

For 11-12, find the value of

### Review (Answers)

To see the Review answers, open this PDF file and look for section 1.8.

### Resources