- is a flat surface that extends in all directions. objective - to identify angles as vertical,...
TRANSCRIPT
- is a flat surface thatextends in all directions .
Objective - To identify angles as vertical, adjacent, complementary and supplementary.
Plane
Parallel Lines
AB
CD
AB CD���������������������������������������� ���
- Lines in the same plane that do not intersect.
Intersecting Lines
AB
C
D
Vertical Angles - Formed by intersecting lines.
Opposite angles (vertical angles) are always congruent.
Adjacent Angles -Angels that share a commonvertex and side.
Complementary Angles
ab
- Angles whosesum is 90 .
m a m b 90
x y
m x m y 90
Complementary angles may notbe adjacent.
Find the measure of the missing angle.
x
x 40 90
40
40 40
x 50
x 50
Find the complement of the angle measures below.
1) 20
2) 59
3) 50
4) 62
5) 15
6) 57
7) 43
8) 100
70
31
40
28
75
33
47
Has no complement
Supplementary Angles
kt
- Angles whosesum is 180 .
m k m t 180
b c
m b m c 180
Supplementary angles may notbe adjacent.
Find the measure of the missing angle.
x
x 50 180
50
50 50
x 130
x 130
y 137 180 137 137
y 43
y 43
y 137
Find the supplement of the following...
1) 18
2) 104
3) 31
4) 75
5) 148
6) 62
7) 159
8) 179
162
76
149
105
32
118
21
1
Find the missing angles.
1) 2)
115x
y
z
m x 65m y 115m z 65
A
D
CE
B
m ABC 133
m CBD 47m EBD 133
47