This document defines and provides examples of complementary, supplementary, and adjacent angles. It begins by defining adjacent angles as two angles that share a common vertex and side. Complementary angles are defined as two angles whose measures sum to 90 degrees. Supplementary angles are defined as two angles whose measures sum to 180 degrees. The document provides visual examples and checkpoint questions to test understanding. It also gives guided examples of using angle relationships to find missing angle measures. Students are assigned related homework problems to practice these concepts.

1. COMPLEMENTARY &
SUPPLEMENTARY
ANGLES
1.5 Describing angle pair
relationships:
Mr. Saucedo
Milby High School

2. OBJECTIVE
We will use angle
relationships to find
angle measures.

3. VOCABULARY
ADJACENT ANGLES
Definition
 Two angles that share a common vertex and common side.
Visual
adjacent non adjacent

4. VOCABULARY:
COMPLEMENTARY ANGLES
Definition
 Two angles that add up to 90 degrees.
Visual

5. VOCABULARY
SUPPLEENTARY ANGLES
Definition
 Two angles that add up to 180 degrees.
Visual

6. CHECKPOINT
TRUE OR FALSE?
 Angle ABC and CBD are complementary.
 Angle KHJ and IHJ are supplementary
 Angle CBD and angle KHJ are adjacent.

7. CHECKPOINT
True or false?
 <ABC and <DBC are
complementary?

8. HOW TO REMEMBER?

9. CHECKPOINT
What is the relationship between angles 1 and 2?

10. GUIDED EXAMPLES
Given that angle a is a complement of angle b and
that m<a = 68, find m<b.

11. GUIDED EXAMPLES
Given that m<2 is a supplement of <2,
and m<2 = 56, find m<1.

12. GUIDED EXAMPLES
Given that the two angles below are complementary;
and that m<FED=4x + 8, and m<CBA = x + 2, find
the measure of each angle.

13. BIG QUESTIONS
How do we identify (or prove) that two angles are
complementary?
How do we identify (or prove) that two angles are
supplementary?
Adjacent angles share a _____ and a ________.

14. INDEPENDENT WORK
TEXTBOOK, Page 38
PROBLEMS: 1, 4, 5, 6, 8, 10, 12, 14, 16, 18,
34, 35, 36, 37, 38.

15. HOMEWORK
WORKBOOK, Page13
PROBLEMS: 1, 3, 5, 7, 17, 22, 23, 24, 25, 29
Pre-AP: Add problem #38.