1. No category

!
"
#
!
$
#
!
#
"
%
&
&
!
D
R
G
m∠1 =
1
mBRD
2
m∠2 =
1
mBD
2
*
1
B
m∠BGD = mDB
m∠GBH = 90°
"
BH
∆ ∠'()
m∠GBD =
∠*
∠'() +
/
,-°
180° − mDB
1
= 90° − mDB
2
2
.
D
,-°
G
1
mDB
2
1
m∠2 = 90° − 90° + mDB
2
1
m∠2 = mDB
2
m∠2 = 90° − 90° −
"
*
C
#
A
E
D
∠(
2
2
∠) 0
D
F
B
C
A
H
B
C
&
A
E
#
m∠AEB = m∠CED =
1
mCD + mAB
2
(
)
D
F
B
/
C
A
∆( )
BD 0
m∠ADB =
1
mAB
2
BD
m∠CBD =
∆( )
1
mCD
2
∠( )
E
D
F
B
1
1
13-° m∠BED = 180° − mCD − mAB
2
2
∠ (
∠( )
m∠AEB = 180° − m∠BED
#
1
1
mCD − m AB
2
2
1
1
1
m∠AEB = mCD + m AB =
mCD + m AB
2
2
2
m∠AEB = 180° − 180° −
(
)
!
.
.
A
&
C
E
m∠AEB =
mAB − mCD
2
D
B
(
∆ ) 0
DA
1
1
m∠CAD = mCD
m∠ADB = mAB
2
2
∆ )
1
m∠EDA =180° − mAB
∠ )
∠ )(
2
∆ )
∠ (
#
13-°
1
1
m∠AEB = 180° − 180° − mAB + mCD
2
2
1
1
1
m∠AEB = m AB − mCD =
m AB − mCD
2
2
2
DA
(
#
C
E
D
B
)
!
"
A
!
$
#
#
!
"
%
&
&
!
D
R
G
1
m∠1 = mBRD
2
1
m∠2 = mBD
2
*
1
B
4
∠1
4
∠1
4
;32
1
1
11*2
∠1
56°
"
7 *3*°
1132
∠1 7 181°
7 *96°
7 1*8°
C
#
A
E
D
∠(
2
∠) 0
D
F
B
C
A
2
C
&
A
E
D
#
m∠AEB = m∠CED =
4
1
mCD + mAB
2
(
4
)
F
B
4
3*2
,*2
552
;12
1-;2
1862
7 55 : 1-;!<* 7 31°
,* : !<* 7 ;1
,* : 7 18*
7 5-°
!
.
.
186 : 3*!<* 7 118°
13- = 118° 7 7 66°
A
&
C
E
D
m AB − mCD
m∠AEB =
2
4
4
B
4
1392
1632
*,2
,92
5,2
,92
,9 & *,!<* 7 7 9*°
163 & !<* 7 5,
163 & 7 113
7 5-°
> 7 96- & 139 & ,9 7 38°
139 & 38!<* 7
7 8, 5°
G.C.2 WORKSHEET #8
2
2. Determine the requested value(s). (Lines that appear to be tangent are tangent.)
a)
b)
c)
266°
2
1
63°
75°
126°
2
1
46°
1
m∠1 = ______ m∠2 = ______
d)
⌢
m2 = ______
m∠1 = ______
e)
m∠1 = _________
f)
94°
168°
66°
50°
1
128°
1
21°
2
2
1
m∠1 = _________
m∠1 = ______ m∠2 = ______
g)
h)
m∠1 = ______ m∠2 = ______
i)
2
58°
1
55°
32°
2
65°
1
1
106°
⌢
m1 = ______
m∠1 = ______ m∠2 = ______
m∠1 = ______
⌢
m2 = ______
3. Determine the requested value(s). (Lines that appear to be tangent are tangent.)
a)
b)
c)
B
D
5x + 8
7x - 14
56°
73°
2x + 34
E
C
59°
A
x = ______
m∠ABC = _______
x = __________
x = __________
4x + 6
G.C.2 WORKSHEET #8
4
6. Use the previous question to help you solve for arc 1 and arc 2 in this
problem, show your work.
64°
2
1
7. Determine the requested value(s). (Lines that appear to be tangent are tangent.)
a)
b)
c)
F
260°
10x - 6
5x + 24
A
228°
D
3x
8x
32°
E
x = __________
x = __________
x = __________
8. Solve for the missing values.
mEF = _________
1
64°
⌢
a) m1 = _________
b) m∠2 = _________
c) m∠3 = _________
d) m∠4 = _________
e) m∠5 = _________
⌢
f) m6 = _________
3
4
5
6
33°
2
96°
9. Solve for the missing values.
100°
3
a) m∠1 = _________
6
b) m∠2 = _________
4
30°
c) m∠3 = _________
⌢
d) m4 = _________
e) m∠5 = _________
f) m∠6 = _________
1
2
10. Solve for the missing values.
3
a) m∠1 = _________
b) m∠2 = _________
c) m∠3 = _________
d) m∠4 = _________
139°
4
e) m∠5 = _________
2
f) m∠6 = _________
1
B
C
6
5
72.5°
5
G.C.2 WORKSHEET
#B
Nome:
period
1. Determine the requested value(s).
-
a)
b)
mZL
(Lines that appear to be tangent are tangent.)
c)
ml1-= q1
=
,{
mlt
=
m/.L= fO.fo
r!rrn--f
7-
= Btt
I
tA=
ml= tgf "
mZl
=
x= llta
k)
t8-o
6
.L
m/.t
=
_
mZ2
=
_
mZL
= lp(* *2 = lS{
oi=-mZ-2=_
oi = loi" mZ.2 = f("
m)
mlL
=
mZ1'
=
€tr't"
x-31
2-
ni=
tli = Tf"
mZ.L
= 'lV'
=Lg
lrfr
=
ni
= lltr'
2
G.C,2WORKSHEET #8
2. Determine the reqUested value(S).
(Lines that appear to be tangent are tangent.)
b)
a)
mlL
=
q1' *i =
qt{f
mlL
=
f)
e)
bl"
ml2
mt!= 17'
=
mz2= Ql"
i)
s)
6oV-A
,fi,=
@
mZL
3. Determine the requested value(s).
ml2 =
vq'
mlL =
@
c)
sur Y+'b =17
tx.tr'T"l.Y
Vf
It
7>=7{
o
*
= [l
nIABC
=
b3
*2=@
(t-ines that appear to be tangent are tangent.)
b)
a)
= 59"
x=
+uz - l'lb
tv'=il
G.C.z WORKSHEET #8
3
4. Determine the requested value(s).
a)
(Lines that appear to be tangent are tangent.)
b)
c)
o
2
mI=
mlL
=
mZ!= b3"
mZ2=
15 '
d)
ml1-
=
f)
mlL= S'l
*)= tY
ml=
ml2
*i = 1g
ml2 = 7l
=
ml!
=
mlL
=
-76'
mlz = 1G-
h)
mZ-1.=
m/.2
=
5. Given the two tangent lines, explain how you would
solve for arc 1 and angle 2.
(hLl =
7oo-zV2
vlnt-l = lW'
77 z -Pr
-2-
5Lo
-
'i'
m12
=
G.C.2 WORKSHEET #8
6. Use the previous question to help you solve for arc 1 and arc 2 in this
problem, show your work.
7. Determine the requested value{s}.
a)
(Lines that appear to be tangent are tangent.)
b)
c)
,'lts
2fiox-v\
' -JoX-l>t'{,
vz
zt +dln1] v,
?vF'--'
x= lL
x=
8. Solve for the missing values.
{rfi=
cl
m/J
=
e) mZ$ =
= b'('
d) mza = llL"
bl
mlr
fl
m6=
lov'
9. Solve for the missing values.
30"
al
mlI=
bl mZ2
cl
ml3
=
d)m4=
Ao'
el
ml|
=
fl mZ6 =
6o'
=
10. Solve for the missing values.
al
mlL=
cl m/3
=
e) mZS =
bl
mzr=
llq'
dl ml4
=
Sv"
ml6
=
bq,so
f)
*fr =
lLq'