1. 3-2 Angles and Parallel Lines
Ms. Andrejko

2. Real-Life

3. Postulates and Theorems
3.1
Theorems
3.2
3.3
3.4

4. Examples If <2=70, find the measure of each angle: 1. <3
2. <5
3. <8
70 (vertical angles)
= 110
110 (vertical to <5)

5. Practice If <2=70, find the measure of each angle: 1. <1
2. <4
3. <6
= 110
110 (vertical to <4) 70

6. Examples
In the figure, m∠3 = 75 and m∠10 = 105. Find the measure of each angle.
1. <2
2. <5
3. <7
= 105
105 (vertical to <2)
105

7. Practice
In the figure, m∠3 = 75 and m∠10 = 105. Find the measure of each angle.
1. <15
2. <14
3. <9
105 75 75

8. Examples Find the variables in each figure 11(11)-1 = 120 180-120 = 60
5y-5=60
5y=65
Y=13
3x-3=60
3x=63
X=21
= 120
4y+4=120
4y=116
Y=29
9x+21 = 11x-1
22=2x
x=11

9. Practice Find the variables in each figure 180-40=140 140=5x 28=x
5(28) = 140
3y-1=140
3y=141
y-=47
8x-10 = 7x
-10=-x
X=10
7(10) = 70
= 110
6y+20 = 110
6y=90
Y=15