Download Objective-To find missing angles using rules of

Angle Relationship Review
Objective-To find missing angles
using theorems of geometry.
Supplementary Angles- Angles whose sum
is 180 .
a
b
ma + m b = 180
Find the value of x.
x
30
x + 30 = 180
- 30 - 30
x = 150
Find the supplement of the given angle.
1) 40
140
5) 89
91
2) 18
162
6) 23
157
3) 153
27
7) 131
49
4) 65
115
8) 118
62
Write a variable equation and solve.
Find an angle whose supplement
is 30 less than twice the angle.
x
2x - 30
x + (2x - 30) = 180
3x - 30 = 180
+30 +30
3x = 210
x = 70
70
Complementary Angles - Angles whose
sum is 90 .
b
a
ma + m b = 90
x
x+ 40 = 90
- 40 -40
40
x = 50
Find the complement of...
1) 20
70
2) 47
43
3) 100
No complement
4) the supplement of 150
the complement of the supplement of 150
the complement of 30 =
60
Write a variable equation and solve.
Find an angle whose complement is 20
more than three times the angle.
x + 3x + 20 = 90
x
3x + 20
4x + 20 = 90
- 20 -20
4x = 70
4
4
x = 17.5
180 Rule for Triangles - the sum of the interior
angles of any triangle is
always 180 .
b
80
40
x
a
c
ma + m b + m  c = 180
40 + 80 + x = 180
120 + x = 180
x = 60
Find each angle below.
2y - 10
y + 14 =
63
2y - 10 = 88
y+14
y - 20
y - 20 = 29
180
(y + 14) + (2y - 10) + (y - 20) = 180
4y - 16 = 180
+16 +16
4y = 196
y = 49
Vertical Angles Theorem - the opposite angles
of intersecting lines
must be equal.
Vertical Angles Theorem - the opposite angles
of intersecting lines
must be equal.
Vertical Angles Theorem - the opposite angles
of intersecting lines
must be equal.
Find the missing angles a, b and c.
155 b 25
c
a
25
Vertical Angles Theorem - the opposite angles
of intersecting lines
must be equal.
Find the missing angles a, b and c.
155 b 25
c
a 155
25
Find the missing angle.
x
40
132
40 + x = 132
x = 92o
Find the missing angle.
119
124
x