efer to the figure for Problems 1–4.AB is tangent to C: at poin tBand A Distangent to C: at point B. Determine the angle measures.

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Refer to the figure for Problems 1–4.AB is tangent to C:
at poin tBand A Distangent to C: at point B. Determine
the angle measures.
 
Name
Date
Class
LESSON Tangents and Circumscribed Angles
15-3
Practice and Problem Solving: A/B
B
Refer to the figure for Problems 1-4. AB is tangent to oC
at point B and AD is tangent to OC at point B. Determine
the angle measures.
1. MZABC =
90 degrees
2. MZDCB =
140 degrees
40
3. MZBDA =
4. MZCDB =
Refer to the figure for Problems 5-8. AB is tangent to
OC at point B and AD is tangent to oC at point B.
Determine the angle measures.
5. MZBCD =
6. MZCDA =
32
7. MZBED =
8. MZDBA =
A
In Problems 9 and 10, QM is tangent to OP at point M and QN is
tangent to OP at point P. Solve for the variable and determine the
angle measures.
9.
N
MZNQM -
(2x - 7)%
m/PNQ =
MZNPM =
(x+ 1)°
M
10.
M.
MZMQN =
(6x -10)"
MZQMP =
MZNPM =
Q
(2х— 2)°
P
N
In Problems 11 and 12, EF is tangent to OH at point Fand EG is
tangent to OH at point G. Determine the length of EF.
11.
EF =
12.
EF =
H.
(3х— 1.2) m
H.
5x ft/
(2x 1.8) m
G
Sft
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
295
Transcribed Image Text:Name Date Class LESSON Tangents and Circumscribed Angles 15-3 Practice and Problem Solving: A/B B Refer to the figure for Problems 1-4. AB is tangent to oC at point B and AD is tangent to OC at point B. Determine the angle measures. 1. MZABC = 90 degrees 2. MZDCB = 140 degrees 40 3. MZBDA = 4. MZCDB = Refer to the figure for Problems 5-8. AB is tangent to OC at point B and AD is tangent to oC at point B. Determine the angle measures. 5. MZBCD = 6. MZCDA = 32 7. MZBED = 8. MZDBA = A In Problems 9 and 10, QM is tangent to OP at point M and QN is tangent to OP at point P. Solve for the variable and determine the angle measures. 9. N MZNQM - (2x - 7)% m/PNQ = MZNPM = (x+ 1)° M 10. M. MZMQN = (6x -10)" MZQMP = MZNPM = Q (2х— 2)° P N In Problems 11 and 12, EF is tangent to OH at point Fand EG is tangent to OH at point G. Determine the length of EF. 11. EF = 12. EF = H. (3х— 1.2) m H. 5x ft/ (2x 1.8) m G Sft Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 295
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