Name _____________________________________
Date _____________
8.3bACC Practice HW Using Algebraic equations to represent angle relationships
Do all work on a separate sheet of looseleaf.
1) In the accompanying diagram, l ll m. What
is the value of x?
(2x – 10)
2) In the accompanying diagram, l ll m.
What is the value of x?
l
(3x – 40)
m
(7x – 12)
3) In the accompanying diagram, p ll q. What
is the measaure of the angle represented by
n?
(9x - 3)
p
(2x + 46)
l
(4x + 39)
m
4) In the accompanying diagram, line d is
parallel to line e, and line f is a transversal.
m 1 = 2(4 + x) and m2 = 6(x – 6). Find
the measure of the angle represented by n.
n
d
q
n
1
2
e
f
5) In the accompanying diagram, line k is
6) In the accompanying diagram, lines a and
parallel to line n, and line l is a transversal.
b are parallel, and lines c and d are
If m 1 = (x + 25) and m2 = (5x – 25), find transversals.
x.
1
2
k
n
l
Which angle is congruent to angle 8?
(a) 6
(b) 5
(c) 4
12) In the diagram at the right, the mAPE = 3(2x + 10)
and mBPF = 2x + 90.
E
A
a) Find the mAPE
b) Explain how you find the mETD
(d) 3
P
D
C
F
B
T
13) The accompanying diagram shows a 14) In the accompanying diagram, line ℓ is
football player crossing the 20-yard line at parallel to line m, and line t is a transversal.
an angle of 30° and continuing along the same
path.
Which must be a true statement?
(a) m1  m4  180
What is the measure of angle B, where the (b) m3  m6  180
player crosses into the end zone?
(c) m1  m8  180
(a) 30°
(b) 60°
(c) 150°
(d) 180°
15) In the accompanying diagram, parallel
AB and
lines
CD are intersected by
transversal at points G and H, respectively,
m  AGH= x + 15, and m  GHD = 2x.
(d) m2  m5  180
16) Two parallel roads, Elm Street and
Oak Street, are crossed by a third,
Walnut
Street,
as
shown
in
the
accompanying diagram. Find the number of
degrees in the acute angle formed by the
intersection of Walnut Street and Elm
Street.
Which equation can be used to find the
value of x?
(1a) 2x = x + 15
(b) 2x + x + 15 = 90
(c) 2x + x + 15 = 180
(d) 2x(x + 15) = 0
17) In the accompanying diagram, CD and EF
are parallel, AB is a transversal,
mDGH  2x, and mFHB  5x  51. Find the
measure, in degrees, of BHE .
18) In the figure below, line m is parallel to
line n. Line p is a transversal.
What is the measure of ABC?
Show your work.