Warm UpSolve.
1. 8 8 6 20x x
22. 2 8
3x
3. 11 21 17 8x x
x = 14
x = 9
x = 2
Lesson 3.1• Symbols• Naming an Angle & Segment• Vertical Angles• Linear Pair• Complementary Angles• Supplementary Angles• Angle Bisectors
Symbols to Know
Angle
Degree
Right Angle
Perpendicular
Segment AB AB
Ray CD
Line EF
Measure
CD
EF
m
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Name this angle 4 different ways.
A
T
C
2
CATTACA2
Name the ways can you name 3?
MA
TH
34
Name the ways can you name 4?
Name the ways can you name MHT?
MHA and AHM
AHT and THA
THM
Name the angle 4 ways.
LMNNML
M7
How do you name the red side?
AM
TH
MA
AM
Linear Pair
118
Two angles that are side-by-side, share a common vertex,
share a common ray, & create a straight line.
62x
Solve for x.Equation:
____ + ____ = 180
Equation:
____ + ____ = 180
x = 38
x x + 104
Solve for x.
104 180x x
Supplementary Angles
98
Two angles that add up to 180.
82
x
Solve for x if the following 2 angles are supplementary.
Equation:
____ + ____ = 180
Equation:
____ + ____ = 180
x = 23
Solve for x.
(3x + 1)° (5x - 5)°
3 1 5 5 180x x
x = 133
13 and 14 are supplementary angles
m13 = 47. Find m14.
47 180x
x = 67
One of two supplementary angles is 46 degrees more than its supplement. Find the measure of both angles.
x1st Angle:
2nd Angle: 46x
46 180xx
One angle is 67 and the other is 113.
Complementary Angles
14
Two angles that add up to 90.
76
x
Solve for x if the following 2 angles are complementary.
Equation:
____ + ____ = 90
Equation:
____ + ____ = 90
x = 18
Solve for x.
x + 13
2x + 23
2 23 13 90x x
x = 53
One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles.
x1st Angle:
2nd Angle: 16x
1 06 9xx
One angle is 53 and the other is 37.
Vertical Angles
76
Two angles that share a common vertex and their sides form two pairs of
opposite rays.
76x
Solve for x.Equation:
______ = ______
Equation:
______ = ______
x = 100
Solve for x.
40°
2
5x
240
5x
x = 5
Solve for x.
(3x + 23)°
(4x + 18)°3 23 4 18x x
Angle Bisector
x = 8
Cuts an angle in to TWO congruent angles
5x + 16
2x + 40
Solve for x.
Textbookp. 20 #41 – 43p. 63 #20 – 22, 30p. 72 #15 & 16