Angles

Parallel Lines

2010 April(68G) Math Question 1

In the figure below, parallel lines m and n are cut by transversal line t, and 2 angle measures are given. What is the value of x?

2023 April(F11) Math Question 2

5. In the trapezoid below, AB is parallel to DC. What is the measure of ∠C ?

2021 June(D06) Math Question 5

2019 June(72F) Math Question 6

2013 December(71E) Math Question 9

Numbered below are the 14 angles formed by parallel lines l and m and transversals p and q. Lines l, p, and q intersect at a single point. Which of the following congruence statements must be true?

2024 April(Z13) Math Question 13

2012 April(70G) Math Question 14

2013 April(71G) Math Question 16

2009 December(68A) Math Question 17

2018 December(B05) Math Question 18

2012 June(70C) Math Question 18

18. In the figure below, AE and BD intersect at C, and AB || DE. Which of the following angles must have the same measure as BAC?

2015 April(73G) Math Question 18

20. In the figure below, line m is perpendicular to line n, and
line p is parallel to line q. Lines m, n, and p intersect at a
single point Some angle measures are given. What is
the value of x ?

2019 June(B02) Math Question 20

20. In the figure below, parallel lines AB and CD are cut by transversals AC and BD that intersect at E. Two angle measures are given. What is the measure of ZABD ?

2015 December(72E) Math Question 20

24. In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.)

2016 April(73E) Math Question 24

In the figure shown below, AB ∥ DE, C is the intersection of AE and BD, ∠D is a right angle, and the given side lengths are in inches. What is the length of AC, in inches?

35 February(Z14) Math Question 37

39. In the figure below, lines l and m are parallel. Lines a and b intersect l at the same point. What is the value of x?

2014 December(72G) Math Question 39

2009 June(67C) Math Question 47

2010 December(69A) Math Question 53

2011 April(67F) Math Question 54

55. In the figure below, AB is parallel to DE, the measure of ∠ABC is 49°, and the measure of ∠BCD is 137°. What is the measure of ∠CDE ?

Parallel LinesAnglesACT math questions

2010 April(68G) Math Question 1

2023 April(F11) Math Question 2