Name
Angle Relationships
Date
Class
Practice
Identify each pair of angles as complementary, vertical or adjacent.
1.
2.
3.
4.
5.
6.
8.
9.
11.
12.
Find the measure of angle b.
7.
Find the value of x.
10.
13. Use the figure to the right to answer the following questions.
a. Name a pair of vertical angles.
b. Name a pair of adjacent angles
c. Find the sum of <a and <b?
d. Find the sum of <e, <f, <g and <h?
14. Name two pair of complementary and supplementary angles in the figure.
a. <_______ and < ________ are complementary.
b. <_______ and < ________ are complementary.
c. <_______ and < ________ are supplementary.
d. <_______ and < ________ are supplementary.
Maintain Your Skills
1.
2.
An electrician charges $75 for the first hour of labor and $60 for each additional hour of labor. A
customer calculates that the electrician charges $225 for a total of 3½ hours of labor. Is the customer
correct?
A
Yes, because (75 × − 3.5) 60 = 225
B
No, because 60 + × (75 3.5) = 322.50
C
Yes, because 75 + × (60 2.5) = 225
D
No, because (75 × − 2.5) 60 = 127.50
Regina owns a drum that has a diameter of 14 inches and a height of 5.5 inches, as shown below. She
wants to design a new drum by dilating the dimensions of the original drum by a scale factor of 1.4.
What will be the diameter, d, and the height, h, of the new drum?
A
d = 19.6 in. and h = 7 7 in.
B
d = 15.4 in. and h = 6 9 in.
C
d = 12.5 in. and h = 4 in.
D
d = 22.5 in. and h =14 in.
ANSWERS
1. adjacent
2. adjacent
3. complementary
4. vertical
5. adjacent
6. vertical
7. b = 145
8. b = 61
9. b = 23
10. x = 20
11. x = 23
12. x = 59
13. a. <c & <d; <a & <b; <e & < h; <g & < g
b. <a & <b; <b & <d; <d & < c; <c & <a
<e & <f; <f & <h; <h & <g; <g & < e
c. 180o
d. 360o
14. a. <AFB & <BFC are complementary
b. <EFD & <BFC are complementary
c. <AFB & <BFD are supplementary
d. <BFC & <CFE are supplementary
Maintain Your Skills
1. C
2. A