1. Adjacent angles have a common vertex and side but no interior points in common. Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees. 2. Vertical angles are formed by two intersecting lines and are congruent. Linear pairs are adjacent angles whose noncommon sides form opposite rays and are supplementary. 3. The document provides examples of finding missing angles based on properties such as being complementary, supplementary, vertical or corresponding angles.

1. ANGLE
RELATIONSHIPS
SECTION 1-5 and 2-8
Jim Smith JCHS
Spi.3.2.E

2. Special Pairs Of Angles
Adjacent Angles Have A
Common Vertex, A Common Side,
But No Common Interior Points
1
2
1
2
A
B C
D
E
4 5
6
Adjacent denotes position only

3. Complementary Angles Have
A Sum Of 90°
9
10
Adjacent
Complementary
Angles
40°
50°
Nonadjacent
Complementary
Angles

4. Supplementary Angles Have A
Sum Of 180°
4
5
120°
60°
Adjacent
Supplementary
Angles
Nonadjacent
Supplementary
Angles

5. 5° 95°
40° 130°
NONE 82°
90° – X 180° - X
Angle Complement Supplement
1. 85° _______ ________
2. 50° _______ ________
3. 98° _______ ________
4. X° _______ ________

6. Vertical Angles Are Formed
By 2 Intersecting Lines
6 7
8
9
Vertical Angles Are Congruent

7. Linear Pairs Are Adjacent
Angles Whose Noncommon
Sides Form Opposite Rays
7
8
1 2
3 4
Linear Pairs Are Supplementary

8. Find the value of x
x
x+25
3x+5 x+15
2x+8 5x- 22
x+18
3x+2
A
B C
ABC = 120°
1) 2)
3) 4)

9. ANSWERS
1) Comp Angles
x+25+x = 90
2x+25 = 90
2x = 65
X = 32½°
2) Supp Angles
3x+5+x+15 = 180
4x+20 = 180
4x = 160
X = 40°
3) Vertical Angles
2x+8 = 5x-22
8 = 3x-22
30 = 3x
X = 10
4) Angle Add Post
X+18+3x+2 = 120
4x+20 = 120
4x = 100
X = 25