1. Angle Pair Relationships
Chapter 1 Section 1.6
Angle Pair Relationships

2. Warm-Up
1.Find the midpoint between (-12, 9) & (2,10) 2. Find the other endpoint if one endpoint is (-5, 9) and the midpoint is (-8, -2)

3. 1 and 2 form a linear pair
m1 + m2 =180°
Two adjacent angles form a linear pair if their noncommon sides are opposite rays.
Form a straight angle.
Any two angles that form a linear pair have a sum of 180°.

4. Vertical Angles 1 2 3 4
1 and 3 are vertical angles
4 and 2 are vertical angles
Two angles are vertical if their sides form two pairs of opposite rays.
Vertical Angles are congruent

5. Use the figure to answer the questions
Are 1 and 2 a linear pair?
Are 4 and 5 a linear pair?
Are 3 and 1 vertical angles?
Are 2 and 5 vertical angles?

6. Use the figure to answer the questions
If m6 = 51°, then m7 = _____
If m8 = 103°, then m6 =_____
If m9 = 136°, then m8 =_____
If m7 = 53°, then m9 =_____

7. A and B are complementary
Complementary Angles A
30°
60° B
mA + mB = 90 °
A and B are complementary
Two angles are complementary if their sum is 90°.
Each Angle is the complement of the other

8. A and B are complementary
Supplementary Angles A
120°
60° B
mA + mB = 180 °
A and B are complementary
Two angles are supplementary if their sum is 180°.
Each angle is the supplement of the other

9. A and B are complementary and B and C are supplementary
If mA = 48° then mB = _____ and mC = _____

10. A and B are complementary and B and C are supplementary
If mB = 83° then mA = _____ and mC = _____

11. A and B are complementary and B and C are supplementary
If mC = 127° then mB = _____ and mA = _____

12. A and B are complementary and B and C are supplementary
If mA = 25° then mB = _____ and mC = _____

13. Find the value of the variable
Vertical Angles are congruent
Solve for y
Solve for x

14. Find the value of the variable
Linear Pairs are add up to 180°
Vertical Angles are congruent

15. Find the value of the variable
Vertical Angles are congruent
Solve for x
Solve for y