1. alternate interior angles alternate exterior angles
Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a transversal.
vertical angles
interior angles
exterior angles
alternate interior angles
alternate exterior angles
corresponding angles
complementary angles
supplementary angles
perpendicular lines
parallel lines
transversal
Main Idea/Vocabulary

2. KC 1

3. Find a Missing Angle Measure
The two angles below are supplementary. Find the value of x.
155 + x = Write an equation. =
Subtract 155 from each side.
Simplify.
Answer: 25
Example 1

4. The two angles below are complementary. Find the value of x.
A. 35 B. 40
C. 45 D. 50
Example 1

5. Find a Missing Angle Measure
Find the value of x in the figure.
Use the two vertical angles to solve for x.
68 + x = 90 Write an equation.
– =– 68 Subtract 68 from each side.
x = 22 Simplify.
Answer: 22
Example 2

6. Find the value of x in the figure.B C D
A. 20 B. 25
C. 30 D. 70
Example 2

7. KC 2

8. Since 3 and 5 are alternate interior angles, they are congruent.
Find an Angle Measure
BRIDGES The drawing shows a simple bridge design. The top beam and the floor of the bridge are parallel. If 2  3 and m3 = 55, classify the relationship between 1 and 5. Then find m1 and m5.
Since 3 and 5 are alternate interior angles, they are congruent.
Also, since 1 and 2 are supplementary, 1 and 3 are supplementary, and 1 and 5 are supplementary.
Example 3

9. Since 3 and 5 are alternate interior angles, m5 = 55.
Find an Angle Measure
Since m3 = 55 and 2  3, m2 = 55.
Since 3 and 5 are alternate interior angles, m5 = 55.
Since 1 and 2 are supplementary, the sum of their measures is 180.
Therefore, m1 = 180 − 55 or 125.
Answer: They are supplementary; m1 = 125° and m5 = 55°.
Example 3

10. BRIDGES The sketch below shows a simple bridge design
BRIDGES The sketch below shows a simple bridge design. The top beam and floor of the bridge are parallel. If m1 = 45° and m3 = 40°, find m4. A B C D
A. 85° B. 95°
C. 100° D. 105°
Example 3

11. Write 7 out of 20 as a percent.
(over Chapter 5)
Write 7 out of 20 as a percent.
A %
B. 0.35%
C. 3.5%
D. 35% A B C D
Five Minute Check 1

12. Express 48% as a fraction in simplest form.
(over Chapter 5)
Express 48% as a fraction in simplest form. A. B. C. D. A B C D
Five Minute Check 2

13. 9.5 is 95% of what number? A. 1 B. 9 C. 10 D. 100 (over Chapter 5) A B
Five Minute Check 3

14. (over Chapter 5)
Find the percent of change from 15 to 18. State whether the percent of change is an increase or a decrease.
A. 20%; decrease
B. 20%; increase
C. 16.7%; decrease
D. 16.7%; increase A B C D
Five Minute Check 4

15. (over Chapter 5)
A grocery store manager prices items 30% above their cost. If the manager pays $0.90 per pound for strawberries, what price will he put on the strawberries?
A. $11.70/pound
B. $3/pound
C. $2.70/pound
D. $1.17/pound A B C D
Five Minute Check 5

16. (over Chapter 5)
Susan deposited $210 to open a savings account that pays 4.7% simple interest annually. If there are no other deposits or withdrawals from the account, how much will be in the account in 24 months?
A. $19.74
B. $20.20
C. $229.74
D. $230.20 A B C D
Five Minute Check 6

17. End of Custom Shows