Answers

Name
--------------------~--------
Date
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lfJ- Properties of Parallel Lines
Identify all the numbered angles that are congruent to the given angle. Justify your answers.
1)
Example: L 5 - CA, L 7 - AEA, etc. (If more than one reason, please state.)
2)
L.J VA
/,~ CA
l7 AE/1
3)
.
t~
4)
VA
lJ CA
1, J
AeA
I
t...tf vA
t.. z. AlA
Find mLl and mL2. Justify each answer.
5)
tttL I
~ $'0 o U" l'..'r ·
~u-=-/;o·
7)
Q
) ·
tA
·s
r~~/..1-:; 7i"
It/A
Iff/.. z. ~ #I• Sj,/
,.,J.,f: 79 11 A£'A
,.J. Z ::/OJ
8)
R
:7~ :"~\.
T
6
u,. ,IJ }o ,J/ ~I
1
rttLI::~t.-
,.. /.,1, •
-CA
It Z "
t.l~/' ~,;..
41111
(Jf
Find the value of x. Then find the measure of each labeled angle. Show all algebraic work.
9)
;w
tfJJ 0
10)
1" 1- ( ?t--l~) ::/80
z~
.. z, : 1~0
('X I-to) 4- ( tttiD)
Z'K-= tdi,
I ~ -::/OJ 07
=/&0
z~.)JO ::f/0
?~=/51)
~:=.~"
11) Write a two-column proof.
Given: a
II
b, x
Iy
Prove: .L4 is supplementary to .L 15 .
Statement
1.
a/19 ,
2 . .L15
Reasons
1(
/(J
U/llt.VI
=.L9
\
~,..,.
3. m.L15
= m.L9
r
~ .,..,.
1/
4 . .L9 and .L4 are supplementary
s.sl
5. m.L9+m.L4 = 180
6.
rtrL/5
7.
Ll$"
12)
,
+m.L4=180
.1141' L t/
q~ S'fJ?·
_ T2c[. tJ~ 'Se;fl'· Ls
One pair of parallel lines intersect a second pair of parallel lines. One ofthe angles of intersection has
a measure of60. How can you determine the measure ofthe four interior angles? Draw a sketch to
support your answer.
I MvV vK $S/
411 ~
~lk~"" ~ks.
"
.f')v,-c
13) Analyze the solutions below. Which solution for the figure at the right is incorrect? Explain.
a) 2x - 40 = x + 10
X-
r
40 = 10
e
x=SO
lri/1
,_
-
«~
f
14) A zip line consists of a pulley attached to a cable that is
strung at an angle between two objects. In the zip line at
the right, one end of the cable is attached to a tree. The
other end is attached to a post parallel to the tree. What is
the measure of L 1? What type of angle pair do L 1 and the
given angle represent?
I 1fc)
,
AlA
15) Calculate each lettered angle below.
a=
b'lo
d= ~
g=
/P3°
j = /08
°
n=
7P 0
s=
7t 0
b=
/1/, 0
e=
jtJI•
h=
Jto
/PSO
k= -
p=
?Po
t=
/lf
c=
/II 11
f=
7Z"
i=
/CJII)
m=
/()5°
q = ~//,
0
0

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