Download Supplementary Complementary Vertical and Angle naming v2

Solve.
Warm Up
1. 8x  8  6x  20
x = 14
2
x28
3
x=9
2.
3. 11x  21  17  8x
x=2
Types of Angles
• Naming an Angle
• Vertical Angles
• Linear Pair
• Complementary Angles
• Supplementary Angles
• Angle Bisectors
Name this angle 4 different ways.
C
2

A

T
CAT
TAC
A
2
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?
M
A



T
H
3
4
THM
Angle Bisector
Cuts an angle into TWO
congruent angles
Solve for x.
2x + 40
5x + 16
x = 8
Vertical Angles
Two angles that share a common
vertex and their sides form two
pairs of opposite rays.
Equation:
Solve for x.
______ = ______
76
x
76
Solve for x.
2
x  40
5
40°
2
x
5
x = 100
Solve for x.
(3x + 23)°
(4x + 18)°
3 x  23  4 x  18
x = 5
Linear Pair
Two angles that are side-by-side,
share a common vertex, share a
common ray, & create a straight line.
Solve for x.
x
62
118
Equation:
____ + ____ = 180
Solve for x.
x
x + 104
x  x  104  180
x = 38
Supplementary Angles
Two angles that add up to 180.
Equation:
____ + ____ = 180
98
x
82
Solve for x if
the following 2
angles are
supplementary.
Solve for x.
3 x  1 5 x  5  180
x = 23
x and y are supplementary angles
mx = 47. Find my.
47  y  180
y = 133
One of two supplementary angles is
46 degrees more than its supplement.
Find the measure of both angles.
1st
Angle:
x
2nd Angle: x  46
x  x  46  180
x = 67
One angle is 67 and the
other is 113.
Complementary Angles
Two angles that add up to 90.
Equation:
____ + ____ = 90
14
x
76
Solve for x if
the following 2
angles are
complementary.
Solve for x.
2 x  23  x  13  90
2x + 23
x + 13
x = 18
One of two complementary angles is
16 degrees less than its complement.
Find the measure of both angles.
1st
Angle:
2nd Angle:
x
x  16
x  x  16  90
x = 53
One angle is 53 and the
other is 37.
Homework
Practice Sheet
from Notes Page