This grade 8 angles parallel lines quiz asks 10 multiple-choice questions on angles, parallel lines and triangles, and each answer comes with a short explanation.
Ten multiple-choice questions check triangle angle sums, exterior angles, angles formed by a transversal and the AA criterion. Each question has exactly one correct answer. Read the explanation to learn the typical mistake.
Grade 8Common Core: 8.G.A.5
🎯 Angles, Parallel Lines and Triangles – Grade 8 math quiz
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Question 1
Two angles of a triangle measure \(38^{\circ}\) and \(74^{\circ}\). What is the third angle?
A\(112^{\circ}\)
B\(142^{\circ}\)
C\(78^{\circ}\)
D\(68^{\circ}\)
Question 2
The remote interior angles of a triangle measure \(47^{\circ}\) and \(62^{\circ}\). What is the exterior angle?
A\(71^{\circ}\)
B\(109^{\circ}\)
C\(133^{\circ}\)
D\(118^{\circ}\)
Question 3
Lines \(l\) and \(m\) are parallel. What is the measure of the angle marked \(?\)
Lines \(l\) and \(m\) are parallel.
A\(55^{\circ}\)
B\(65^{\circ}\)
C\(235^{\circ}\)
D\(125^{\circ}\)
Question 4
Two parallel lines are cut by a transversal. Same-side interior angles measure \((2x+10)^{\circ}\) and \((3x+20)^{\circ}\). What is \(x\)?
A\(x=30\)
B\(x=36\)
C\(x=20\)
D\(x=60\)
Question 5
Two parallel lines are cut by a transversal. Which pair of angles is always equal?
ACorresponding angles
BSame-side interior angles
CAngles that form a linear pair
DAngles that are next to each other along the transversal
Question 6
What is the measure of the exterior angle \(x\)?
Triangle \(ABC\).
A\(70^{\circ}\)
B\(130^{\circ}\)
C\(120^{\circ}\)
D\(110^{\circ}\)
Question 7
Which pair of triangles must be similar?
AOne has angles \(40^{\circ}\) and \(80^{\circ}\); the other has angles \(40^{\circ}\) and \(70^{\circ}\)
BOne has angles \(50^{\circ}\) and \(60^{\circ}\); the other has angles \(70^{\circ}\) and \(60^{\circ}\)
COne has angles \(50^{\circ}\) and \(60^{\circ}\); the other has angles \(60^{\circ}\) and \(80^{\circ}\)
DOne has angles \(30^{\circ}\) and \(90^{\circ}\); the other has angles \(60^{\circ}\) and \(60^{\circ}\)
Question 8
The triangles are similar. \(AB=6\), \(BC=8\) and \(DE=9\). What is \(EF\)?
Triangles \(ABC\) and \(DEF\).
A\(11\)
B\(\frac{16}{3}\)
C\(12\)
D\(18\)
Question 9
The angles of a triangle are in the ratio \(2:3:4\). What is the largest angle?
A\(60^{\circ}\)
B\(90^{\circ}\)
C\(80^{\circ}\)
D\(72^{\circ}\)
Question 10
Two parallel lines are cut by a transversal, and one of the eight angles measures \(70^{\circ}\). How many of the eight angles measure \(70^{\circ}\)?
A4
B2
C6
D8
🎉 Quiz complete!
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How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
Standard 8.G.A.5: angle sum, exterior angles, parallel lines with a transversal, and the AA criterion.
Triangle angle sum: \(180^{\circ}\).
Exterior angle = sum of the two remote interior angles.
Parallel lines: corresponding, alternate interior and alternate exterior angles are equal; same-side interior angles sum to \(180^{\circ}\).
AA criterion: two equal pairs of angles make triangles similar.
How to use this grade 8 angles parallel lines quiz
Retake this grade 8 angles parallel lines quiz until every answer is right, then move on to the worksheet and the test.
