6 Find the measure of each angle or arc that is labeled with a letter.
2 Vertex inside:
" Given: CD = 100°, FG = 30°
Find: mZ.CED
136
65"
3 Vertex on:
7 Given: AB = 108°, CD = 62°
a Given: AC = 70°
Find: Z.AXB and Z.Y
Find: mZB
tf 33
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8 Given: TP = 170°, PQ = 135
b Given: DE is tangent at E.
EF = 150°
Find: LR
Find: mZDEF n t "
4 Vertex outside:
9 Given: Z.AEB = 30°,
AB = 50°
Find: CD
10'
Given: HF^= 120°,
AM = 36°
Find: mZK
I*
Given: TU is tangent at U.
Given: W and R are points of
RU = 160°,
contact.
SU = 60°
WR = 140°
Find: mZ-T
50
10 Given: ZP = 17°,
TQ = 42°
Find:SP.
FilK': m^x *|C
,.
5 Find the measure of each angle or arc that is labeled with a letter.
160
fi If AY = 22°, WZ^= 125°, and YZ is tan
gent at Z, find XZ. '
.*
#>
12 IfST = 85°, SQ = 95°, and TO = 175°,
find Z.P.
"•:
.
S
Vo
*
175°
15 A circle is divided into three arcs in the ratio of 3:4:5. A
tangent-chord angle intercepts the largest of the three arcs. Find
the measure of the tangent-chord angle.
27 A secant-secant angle intercepts arcs that are r and g of the
circle. If a chord-chord angle and its vertical angle intercept the
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same arcs, what is the measure of the chord-chord angle? Jf^.fi
An inscribed angle intercepts an arc that is | of the circle. Find
the measure of the inscribed angle.
28 AABC is inscribed in a circle (all_sides are chords), AB = 12,
AC = 6, and BC = 6V3. Find mBC. i<^q*
2o-
18 Given: VQ is tangent to OO at Q.
29 a An angle is inscribed in a circle and intercepts an arc of 140°.
QS is a diameter of GO.
Find the measure of the angle. -~lft'
PQ = 115°; ZRPS = 36°#
b An angle is inscribed in a 140° arc (the vertex is on the arc
and the sides contain the endpoints of the arc). Find the
measure of the angle. 11*.*
Find: a ZR5?-S'S ZQPR 5*T i PRQS>4$"
fa ^>&.$' f ZQPS W j Rip 13"*'
c SR12* g ZQTP93.S" k ZVQS ^)0"
30 a Find the area and the circumference of OQ to the nearest
d QR/02" h /PQV5=».£ I ZQOP ||5*
tenth.
.n .
y
b Find the area of the shaded region to the nearest tenth.
c Find the length of PR to the nearest tenth.
S Given mZP = 60 and mPSR = 128, find
mZQ, mZR, and mZS.
W
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Iffc
ProMem Sett C
31 Given: AB || CD;
!0 The major arc cut off by two tangents to a circle from an outside
point is five thirds of the minor arc. Find the angle formed by
the tangents.
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Conclusion: ATsBT
QC°
W Given: ZAFE = 89°,
ZC = 15°
^f),^'
*> *>
>£&*
32 A quadrilateral ABCD is inscribed in a circle. Its diagonals inter
sect at X. If AB = 100°, BC = 50°, and AD = BD, find mZDXC.
Find: AE and BD
loH'
DC is tangent to OO at T.
-ft"
33 Given: WZ s XY,
WXY = 200°
Find: ZP ^
5 Given: SY = 112°,
DC = 87°
Find: AB
34 A secant and a tangent to a circle intersect to form an angle of
38°. If the measures of the arcs intercepted by this angle are in a
35'
ratio of 2:1, find the measure of the third arc. ^7 *
5If Dd = (5x + 6)°, AB = (2x)°, and
ZAEB = 94°, find AB.
ST
35 Given: © P and Qarc internally tangent at T.
Diameter NS of 0Q is tangent to OP at A.
mMR = 42; TM passes through A.
Find: mNM
0\0
-