# worksheet - Ms. Studley's Class

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```					Name: ________________________

Date: _________       Period: ______         Homework #8
Math B1A              Studley

2. From an external point, two tangents are drawn to a
1. Chords MN and PQ intersect at point R in circle O.   circle. If the tangent intersects a major arc of 204, the
measure of the angle formed by the two tangents is
If mMQ = 112 and m PN = 80, what is the measure of
<MRQ?

(1) 32               (2) 112                            (1) 24                (2) 102

(3) 96               (4) 192                            (3) 48                  (4) 156

3. In the diagram below, secant KLM and tangent KP      4. In circle O, secants PBS and PQR are drawn. If

are drawn to circle O. If the measure of LP is 50 and   m<SPR is 65 and the measure of BQ is 43, the

the measure of <PKM is 47, the measure of MP is:        measure of SR is:

K                                                   P

L
B              Q

P
O                                                          O
M                                                          S
R

(1) 87                   (2) 130
(1) 94                         (2) 188
(3) 107                  (4) 173
(3) 144                         (4) 310
5. In circle O, tangent PA, secant PBC, diameter AOC, and chords AD and DC are drawn. m<APC = 57; mDC
= 34.

P                      A

B

O
E

D         C

Find:

a. mBA

b. mBD

c. m<ACD

d. m<BED

e. m<PCA