1. Warm Up
Solve.
x = 14
x = 9
x = 2

2. Lesson 3.1 Symbols Naming an Angle & Segment Vertical Angles
Linear Pair
Complementary Angles
Supplementary Angles
Angle Bisectors

3. Symbols to Know

4. Name this angle 4 different ways.
CAT  T C 2
TAC A A 2

5. Name the ways can you name 3?
MHA and AHM
Name the ways can you name 4?
AHT and THA
Name the ways can you name MHT?
THM  M A T H 3 4

6. Name the angle 4 ways.
LMN
NML M 7

7. How do you name the red side?

8. Linear Pair
Two angles that are side-by-side, share a common vertex, share a common ray, & create a straight line.
62 x
Solve for x.
Equation:
____ + ____ = 180
118

9. Solve for x. x
x + 104
x = 38

10. Two angles that add up to 180.
Supplementary Angles
Two angles that add up to 180.
Equation:
____ + ____ = 180
82 x
Solve for x if the following 2 angles are supplementary.
98

11. Solve for x.
x = 23

12. 13 and 14 are supplementary angles
m13 = 47. Find m14.
x = 133

13. One angle is 67 and the other is 113.
One of two supplementary angles is 46 degrees more than its supplement. Find the measure of both angles.
1st Angle:
2nd Angle:
x = 67
One angle is 67 and the other is 113.

14. Two angles that add up to 90.
Complementary Angles
Two angles that add up to 90.
Equation:
____ + ____ = 90
14
76 x
Solve for x if the following 2 angles are complementary.

15. Solve for x.
2x + 23
x + 13
x = 18

16. One angle is 53 and the other is 37.
One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles.
1st Angle:
2nd Angle:
x = 53
One angle is 53 and the other is 37.

17. Vertical Angles
Two angles that share a common vertex and their sides form two pairs of opposite rays.
Equation:
______ = ______
76 x
Solve for x.
76

18. Solve for x.
40°
x = 100

19. Solve for x.
(3x + 23)°
(4x + 18)°
x = 5

20. Cuts an angle in to TWO congruent angles
Angle Bisector
Cuts an angle in to TWO congruent angles
Solve for x.
2x + 40
5x + 16
x = 8

21. Textbook
p. 20 #41 – 43
p. 63 #20 – 22, 30
p. 72 #15 & 16