1. Angles and Their Relationships
Pre-Algebra

2. Two angles that share a common ray or are side by side
Adjacent Angles
Two angles that share a common ray or are side by side
55º
35º
50º
130º

3. Two angles whose sum is 90°
Complementary Angles
Two angles whose sum is 90°

4. Two angles whose sum is 180°
Supplementary Angles
Two angles whose sum is 180°

5. Practice Problems: In the figure below, WYZ and ZYX are complementary.
If the measure of WYZ = 27°, what is the measure of ZYX ?
153° 73° 63° 27°
A B C D

6. Two supplementary angles measure (2x+10) and (x+20) degrees.
Practice Problems:
2X+10
X+20
Two supplementary angles measure (2x+10) and (x+20) degrees. 
What is the value of x ?

7. Practice Problems:
m UKF = _________ m ZKF = 96°

8. Two complementary angles measure x and 65°.
Practice Problems:
65° X
Two complementary angles measure x and 65°.
Find the measure of x.

9. Vertical Angles
Vertical angles are angles opposite one another at the intersection of two lines.
Vertical angles are congruent. 1 2 4 3

10. When you are looking for vertical angles,
“Hop Over” 1 4 3 2

11. Vertical Angle Practice
If m QTK = 99°, find the
m STV = _________
m STV = _________ m QTK = 99 m STV = _________ m QTK = 99

12. Solve for x and then find m ACB.• D • A
81° • 3X C • • E B

13. Solve for x and then find the measure of each angle.
                                                                              • K
5x - 8 • • • J G H
2x + 19 • I

14. If the measure of 2 is 108°, what is the measure of 3 ?
In the figure below, line h intersects line j to form the angles shown.
If the measure of 2 is 108°, what is the measure of 3 ?

15. Parallel Lines and Special Angle Pairs
You will need either markers or crayons for this section

16. Corresponding Angles
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

17. Vertical Angles
Vertical Angles are the angles opposite each other when two lines cross.

18. Alternate Interior Angles
When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles.

19. Alternate Exterior Angles
When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.