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(a) PQ and RS are parallel. The corresponding angles, 48°, are equal.
(b) 42° + 128° = 170°
≠ 180° The sum of the interior angles should be
180° if PQ and RS are parallel.
Thus, PQ and RS are not parallel.

Self Practice 8.3c

1. For each of the following diagrams, determine whether line PQ and line RS are
parallel.
(a) (b) Q (c)
P P 120° 124°
132° Q P 85° R
R 132° S Q
S 85°
R 124°
S

How do you determine the values of angles related to parallel lines
and transversals?
LEARNING
13 A 118° C STANDARDS
In the diagram, PQ, RS and P Q Determine the values of CHAPTER
angles related to parallel
TU are parallel lines. Find the 60° a S lines and transversals,
values of a, b and c. R b c U given the values of 8
T other angles.
B D

a = 60° b = 118° b + c = 180° Interior angles
118° + c = 180°
Alternate angles Corresponding angles c = 180° – 118°
= 62°

Self Practice 8.3d

1. In the diagram, EF and GH are straight 2. In the diagram, find the values of a
lines. Find the values of a, b, c and d. and b.

E G
a b A a E b B
A c B
76° 110° 25°
C d D C 42° D
F H

191
Lines and Angles

08 TB Math F1.indd 191 11/10/16 12:17 PM