Name
Class
Date
Practice
1-4
Form K
Measuring Angles
Name each shaded angle in three different ways. To start, identify the rays that
form each angle.
1.
2.
A
3.
J
F
G
H
lFGH, lHGF , lG
B
C
lABC , lCBA, lB
M
L
1
K
lMKL, lLKM, l1
Use the diagram below. Find the measure of each angle. Then classify the angle
as acute, right, obtuse, or straight.
4. /AFB
To start, identify /AFB . Then use the definition of the measure of an angle to
find m/AFB.
180 2 u
50
130 u 5 u
uu
m/AFB 5
This angle is a(n) 9 angle. acute
5. /AFD 140; obtuse
C
6. /CFD 65; acute
B
30
15
0 1 40
40
9. /BFE 130; obtuse
A
0 10
20
180 170 1
60
8. /AFE 180; straight
D
170 180
160
0
10 0
15
20
0
0
14 0 3
4
7. /BFD 90; right
80 90 100 11
0 1
70
90 80
20
70
60 110 100
60 13
0
0
2
0
1
5
50
0
13
F
10. /AFC 75; acute
Use the diagram at the right. Complete each statement.
11. /MIG >
z lJIH z
z
P
z
12. /PMJ > lGHQ
M
K
z
z
13. If m/KJL 5 30, then m/ MJI 5 30.
z
L
J
z
14. If m/LMP 5 100, then m/QHG 5 100 .
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35
I
H
Q
G
E
Name
Class
1-4
Practice (continued)
Form K
Measuring Angles
15. If m/FHI 5 142, what are
16. /JKL is a right angle. What are
m/FHG and m/GHI ?
F
(3x 6)
Date
m/JKM and m/MKL?
42; 100
G
63; 27
J
M
(12x 3)
(9x 8)
H
(6x 3)
K
I
L
Use a protractor. Measure and classify each angle.
17.
18.
58; acute
162; obtuse
19.
20.
100; obtuse
Algebra Use the diagram at the right for
Exercises 21–23. Solve for x. Find the angle
measures to check your work.
90; right
D
E
C
21. m/CGD 5 4x 1 2, m/DGE 5 3x 2 5,
m/EGF 5 2x 1 10 15; 62; 40; 40
F
G
22. m/CGD 5 2x 2 2, m/EGF 5 37, m/CGF 5 7x 1 2 14; 26; 37; 37; 100
23. If m/DGF 5 72, what equation can you use to find m/EGF ? 2x 5 72
24. The flag of the United Kingdom is shown
at the right. Copy the flag on a separate
piece of paper. Label at least two of each
type of angle:
a. acute
b. obtuse
c. right
d. straight Check students’ work.
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36