Mathematics B Regents High School Examination - The University Of The State Of New York, 2006 Page 18

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Part IV
Answer all questions in this part. Each correct answer will receive 6 credits. Clearly indicate the
necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [
]
12
33 In the accompanying diagram, circle O has radius
OD
, diameter
BOHF
,
secant
, and chords
and
BD
;
is tangent to circle O at D;
CBA
DHG
CE
mDF = 80
= 3 2 1
: :
:
:
; and
GF
.
m
BA
m
AG
m
Find
, m∠BHD, m∠BDG, m∠GDE, m∠C, and m∠BOD.
mGF
A
G
O
B
F
H
E
D
C
[18]
Math. B – Aug. ’06

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