• vertical angles

• complementary angles• supplementary angles• perpendicular lines• parallel lines• transversal

• Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a transversal.

• interior angles• exterior angles• alternate interior angles• alternate exterior angles• corresponding angles

Find a Missing Angle Measure

The two angles below are supplementary. Find the value of x.

155 + x = 180 Write an equation.

Answer: 25

Subtract 155 from each side.

Simplify.

=

1. A

2. B

3. C

4. D0% 0%0%0%

A. 35 B. 40

C. 45 D. 50

The two angles below are complementary. Find the value of x.

Find a Missing Angle Measure

Use the two vertical angles to solve for x.

Answer: 22

68 + x = 90 Write an equation.

Find the value of x in the figure.

– 68 =– 68 Subtract 68 from each side.

x = 22 Simplify.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 20 B. 25

C. 30 D. 70

Find the value of x in the figure.

BRIDGES The drawing shows a simple bridge design. The top beam and the floor of the bridge are parallel. If 2 3 and m3 = 55, classify the relationship between 1 and 5. Then find m1 and m5.

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.

Find an Angle Measure

Since m3 = 55 and 2 3, m2 = 55.

Answer: They are supplementary; m1 = 125° and m5 = 55°.

Find an Angle Measure

Since 3 and 5 are alternate interior angles, m5 = 55.

Since 1 and 2 are supplementary, the sum of their measures is 180.

Therefore, m1 = 180 − 55 or 125.

1. A

2. B

3. C

4. D0% 0%0%0%A. 85° B. 95°

C. 100° D. 105°

BRIDGES The sketch below shows a simple bridge design. The top beam and floor of the bridge are parallel. If m1 = 45° and m3 = 40°, find m4.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 0.035%

B. 0.35%

C. 3.5%

D. 35%

Write 7 out of 20 as a percent.

(over Chapter 5)

1. A

2. B

3. C

4. D0% 0%0%0%

Express 48% as a fraction in simplest form.

(over Chapter 5)

A.

B.

C.

D.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 1

B. 9

C. 10

D. 100

9.5 is 95% of what number?

(over Chapter 5)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 20%; decrease

B. 20%; increase

C. 16.7%; decrease

D. 16.7%; increase

Find the percent of change from 15 to 18. State whether the percent of change is an increase or a decrease.

(over Chapter 5)

1. A

2. B

3. C

4. D0% 0%0%0%

A. $11.70/pound

B. $3/pound

C. $2.70/pound

D. $1.17/pound

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?

(over Chapter 5)

1. A

2. B

3. C

4. D

0% 0%0%0%

A. $19.74

B. $20.20

C. $229.74

D. $230.20

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?

(over Chapter 5)