Triangle and Holt Geometry Copyright
Name
LESSON
Date
Class
Practice A
11-5 Angle Relationships in Circles
In Exercises 1–3, match the letter of the drawing to the formula for finding the measure of the angle. 1 B A. 1. m ABC __ (mAC mDE ) 2
2. m ABC
1 __ (mAC 2
m DE )
C
B.
3. m ABC
1 __ mAB 2
A
C.
Find each measure. 4. m FGH 5. m IJ 6.
45° 150°
7.
m QPR
55°
m YUV
116°
8. Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “ring road” that allows traffic to bypass the old streets. The figure shows a circular ring road and two roads that provide access to the old city. Find m CBD. Find the value of x. 9.
82°
40
10.
67
Complete Exercises 11–13 in order to find m ECF.
_
11. Find m DHG. (Hint: DF is a straight segment.) 12. Find mEF. 13. Find m ECF.
96° 134° 38°
Holt Geometry
Copyright © by Holt, Rinehart and Winston. All rights reserved.
35
Name
LESSON
Date
Class
Practice B
11-5 Angle Relationships in Circles
Find each measure. 1. m ABE mBC
64° 96°
2.
m LKI mIJ
119° 42°
3.
m RPS
130°
4.
94° 68°
m YUX
99°
Find the value of x. 5.
° 116°
64
6.
173°
° 79°
47
7.
8
8.
113° 23° °
45
9. The figure shows a spinning wheel. The large wheel is turned by hand or with a foot trundle. A belt attaches to a small bobbin that turns very quickly. The bobbin twists raw materials into thread, twine, or yarn. Each pair of spokes intercepts a 30° arc. Find the value of x.
°
60
Find each measure. 10.
56° 39°
11.
30° 81°
70°
75°
m DEI mEF
66.5° 115°
36
m WVR mTUW
84° 192°
Holt Geometry
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Name
Date
Class
Name
Date
Class
Practice A LESSON 11-5 Angle Relationships in Circles
In Exercises 1–3, match the letter of the drawing to the formula for finding the measure of the angle. � 1
LESSON
Date
Class
Practice A
11-5 Angle Relationships in Circles
In Exercises 1–3, match the letter of the drawing to the formula for finding the measure of the angle. 1 B A. 1. m ABC __ (mAC mDE ) 2
2. m ABC
1 __ (mAC 2
m DE )
C
B.
3. m ABC
1 __ mAB 2
A
C.
Find each measure. 4. m FGH 5. m IJ 6.
45° 150°
7.
m QPR
55°
m YUV
116°
8. Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “ring road” that allows traffic to bypass the old streets. The figure shows a circular ring road and two roads that provide access to the old city. Find m CBD. Find the value of x. 9.
82°
40
10.
67
Complete Exercises 11–13 in order to find m ECF.
_
11. Find m DHG. (Hint: DF is a straight segment.) 12. Find mEF. 13. Find m ECF.
96° 134° 38°
Holt Geometry
Copyright © by Holt, Rinehart and Winston. All rights reserved.
35
Name
LESSON
Date
Class
Practice B
11-5 Angle Relationships in Circles
Find each measure. 1. m ABE mBC
64° 96°
2.
m LKI mIJ
119° 42°
3.
m RPS
130°
4.
94° 68°
m YUX
99°
Find the value of x. 5.
° 116°
64
6.
173°
° 79°
47
7.
8
8.
113° 23° °
45
9. The figure shows a spinning wheel. The large wheel is turned by hand or with a foot trundle. A belt attaches to a small bobbin that turns very quickly. The bobbin twists raw materials into thread, twine, or yarn. Each pair of spokes intercepts a 30° arc. Find the value of x.
°
60
Find each measure. 10.
56° 39°
11.
30° 81°
70°
75°
m DEI mEF
66.5° 115°
36
m WVR mTUW
84° 192°
Holt Geometry
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Name
Date
Class
Name
Date
Class
Practice A LESSON 11-5 Angle Relationships in Circles
In Exercises 1–3, match the letter of the drawing to the formula for finding the measure of the angle. � 1