Regents Exam Questions by Topic
ANGLES: Angles Involving Parallel Lines
Page 1
Name: __________________________________
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1
In the accompanying figure, what is one pair of alternate interior angles?
010320a
(1)  1 and   2
(2)  4 and   5
2
(3)  4 and   6
(4)  6 and   8
In the accompanying diagram, lines a and b are parallel, and lines c and d are
transversals.
010502a
Which angle is congruent to angle 8?
(1) 6
(3) 3
(2) 5
(4) 4
Regents Exam Questions by Topic
ANGLES: Angles Involving Parallel Lines
Name: __________________________________
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3
Page 2
Based on the diagram below, which statement is true?
080901ge
(1) a b
(2) a c
4
(3) b c
(4) d e
The accompanying diagram shows a football player crossing the 20-yard line at
an angle of 30° and continuing along the same path.
080421a
What is the measure of angle B, where the player crosses into the end zone?
(1) 30°
(3) 150°
(2) 60°
(4) 180°
Regents Exam Questions by Topic
ANGLES: Angles Involving Parallel Lines
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5
Page 3
Name: __________________________________
In the accompanying diagram, line ℓ is parallel to line m, and line t is a
transversal.
080613a
Which must be a true statement?
(1) m1  m4  180
(3) m3  m6  180
(2) m1  m8  180
(4) m2  m5  180
6
The accompanying diagram shows two parallel roads, Hope Street and Grand
Street, crossed by a transversal road, Broadway.
010702a
If m1  110, what is the measure of m7 ?
(1) 40°
(3) 110°
(2) 70°
(4) 180°
Regents Exam Questions by Topic
ANGLES: Angles Involving Parallel Lines
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7
060122a
8
Page 4
Name: __________________________________
In the accompanying diagram, parallel lines AB and CD are intersected by
transversal EF at points X and Y, and m  FYD = 123. Find m  AXY.
In the accompanying diagram, line n is parallel to line m, line t is a transversal,
and m1  24.
080808a
What does x equal, in degrees?
(1) 24
(3) 114
(2) 66
(4) 156
9
010402a
In the accompanying diagram, parallel lines AB and CD are intersected by
transversal at points G and H, respectively, m  AGH= x + 15, and m  GHD =
2x.
Which equation can be used to find the value of x?
(1) 2x = x + 15
(3) 2x + x + 15 = 90
(2) 2x + x + 15 = 180
(4) 2x(x + 15) = 0
Regents Exam Questions by Topic
ANGLES: Angles Involving Parallel Lines
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10
Page 5
Name: __________________________________
In the accompanying diagram, line m is parallel to line p, line t is a transversal,
m  a = 3x + 12, and m  b = 2x + 13. Find the value of x.
060324a
11
060226a
12
010639a
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.
In the accompanying diagram, CD EF , AB is a transversal, mDGH  2x, and
mFHB  5x  51. Find the measure, in degrees, of mBHE .
Regents Exam Questions by Topic
ANGLES: Angles Involving Parallel Lines
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13
080510a
Page 6
Name: __________________________________
The accompanying diagram shows two parallel streets, Main Street and Brooks
Road, intersected by Jay Street. The obtuse angle that Jay Street forms with
Brooks Road is three times the measure of the acute angle that Jay Street forms
with Main Street.
What is the measure of the acute angle formed by Jay Street and Main Street?
(1) 45°
(3) 90°
(2) 60°
(4) 135°