1. Given circle O with tangent MP. a. If m/M = 150, then m

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 31E: A satellite dish in the shape of a regular dodecagon 12 sides is nearly circular. Find: a mAB b mABC...
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EXERCISES: How do you answer?
1. Given circle O with tangent MP.
a. If mjM = 150, then m<N =?
b. If m2K = 63, then m<JMP =?
2. Given tangent segment PA and secant segments PB and PE
a. If mBE = 80 and mCD = 40, m/1 =?
b. If mBE = 70 and mCD = 30, m/2 =?
B
c. If mAB = 60 and mAC = 30, m<3 =?
d. If mz1 = 30 and mCD = 20, mBE =?
3. Given tangent segment PT and secant segments PA and PC
AB and CD are chords of the circle
a. PD=4 and PA=9, PT=?
b. CD=14, AX-8, XB= 5, CX>DX. Find CX.
C PT-10, PB =4. Find BC.
B
d.
PD=6, DA=5, and PB = 4. Find PC.
4. Prove: The measure of one angle formed by two secants intersecting inside a circle is equal
to half the sum of the measures of the arcs intercepted by the angle and by its vertical
angle.
E
P
2
M
D
K
P
P
Transcribed Image Text:EXERCISES: How do you answer? 1. Given circle O with tangent MP. a. If mjM = 150, then m<N =? b. If m2K = 63, then m<JMP =? 2. Given tangent segment PA and secant segments PB and PE a. If mBE = 80 and mCD = 40, m/1 =? b. If mBE = 70 and mCD = 30, m/2 =? B c. If mAB = 60 and mAC = 30, m<3 =? d. If mz1 = 30 and mCD = 20, mBE =? 3. Given tangent segment PT and secant segments PA and PC AB and CD are chords of the circle a. PD=4 and PA=9, PT=? b. CD=14, AX-8, XB= 5, CX>DX. Find CX. C PT-10, PB =4. Find BC. B d. PD=6, DA=5, and PB = 4. Find PC. 4. Prove: The measure of one angle formed by two secants intersecting inside a circle is equal to half the sum of the measures of the arcs intercepted by the angle and by its vertical angle. E P 2 M D K P P
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