Transcript College Placement Test In the figure below, AB, CD, and EF are parallel, and PQ intersects all 3 lines at points R,

College Placement Test
In the figure below, AB, CD, and EF are parallel, and PQ intersects all 3 lines at
points R, S, and T, respective ly. If the measure of QTF is 33O , what is the
measure of PRB?
A. 33o
B. 57o
C. 66o
D. 123o
E. 147o
E. 147o
Explanation:
By vertical angle theorem,
angle STE would be 33
degrees.
P
147
A
Since the lines are parallel,
by Same-Side Interior Angle
Theorem, angles RSC and
ARS would be
supplementary…
B
O
147R
C
Since the lines are parallel,
angle RSC would be 33
degrees by Corresponding
Angle Postulate
O
33
O
D
S
E
33
T
By vertical angle theorem,
angle PRB would be 147
degrees.
180  33  147
O
O
O
O
33
F
O