Notes on Angle relationships

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