Date:
Name:
Typesof Angles& 2 ParallelLinesCut by a Transversal
Directions: Fi:l in the blanksusingthe word banh; somewordsmay he.usedmore than onceof not at all-
WORD BANK
r Adjac ent
1360
1270
rl8 0
r9 0
r0
r AlternateExterior r Alternatelnterior r Complementary
I Corresponding r Supplementary I Vertical
r)
addto 180degrees.
angles'measures
2)
anglesaretwo angleson thesamesideof thetransversal,
one interior and one exterior.
linesarecalled
anglesformedby two intersecting
3) Thenon-adjacent
angles.
4)
but on oppositesidesof thetransversal.
by a transversal,
linesintersected
anglesbecause
a andb are
them za* mzb: -degrees.
6) Two anglesthatshareonecommonsideanda commonvertexare
angles.
7)
.
xa nd Yare
*
./
u
,
anglesbecause
themtx + mty
g) _
anglesarea pairof angleson the innersidesof two lines
but on oppositesidesof thetransversal.
by a transversal,
intersected
J
gl If the sumof the measure
of two anglesis 90otheanglesare
l0)
anglesarealwaysequal.
Exercises
sHonfnEsPoNsE
In thefigurebelow,Cll lrr.Usethe figureto answerquestionsI and 2.
J
lf mla = 123',find the measures
of lb, le, andZg.Slatethe relationship
of eachangle
to la on the linesbelow.
mlb =
mla =
mlg =
It mZd : 57', find the measures
ol lb, lf, la, andth. Statethe relationship
of each
angleto Zd on the linesbelow.
mlb =
mZl =
MULT'PLE
CHOICE
ln the figurebelow j ll k.Usethefigureto
answetquestions
4 and 5.
3 Anglesx andy arealternate
interior
anglesformedby two parallellinesand
a transversal.lf
m/.x = 167",whatis
m/-y/
A 13 "
B 77"
c 167"
D 18 0 "
of
5 lf mlc = 64",whatis the measure
related?
/-e andhow arethe two angles
A
B
c
D
64', alternateinteriorangles
64",alternateexteriorangles
116 , rltern.lteinteriorangles
angles
I 16",supplementary
mlh =
mla =
i
4 Whichof the followingangles
congruentto zd?
F Zc,/"e,Zg
G tb, zh, zf
H l a,l e,l h
t zh only
k
7 Anglet measures
149'.Whatis tl-.
Whichof the followingstatements
is
measure
of corresponding
angle
truewhentwo parallellinesarecrossed
formed
parallels
by
and
a
transver.
by a transversall
F
G
H
J
Altinteriorangtesarecongruen,
All exterioranglesarecongruent.
Same-side
interioranglesarecongruent.
Alternateinterior'anqles
are
congruent.
I ;;.
C t Cg"
D taO.
J