Grade 8 · Math

8th grade Angles made by a line crossing parallel lines worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Angles made by a line crossing parallel lines

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Esme draws two parallel lines and a crossing line with a crayon. Angle 2 is 63°. How many degrees is angle 7?
Kira draws two parallel lines and a crossing line on paper. Angle 6 is 48°. How many degrees is angle 3?
Luz sees a ladder's parallel rails crossed by a strap. Angle 3 is 61°. How many degrees is angle 5?
Noah watches a toy train on two parallel rails crossed by a road. Angle 1 is 102°. How many degrees is angle 7?
5.
Esme sees a ladder's parallel rails crossed by a strap. Which statement is true about angle 3 and angle 5?
- Equal: they are alternate interior angles
- They add to 180°: they are same-side interior angles
- They add to 180°: they are same-side exterior angles
6.
Jun draws two parallel lines and a crossing line on paper. Which statement is true about angle 2 and angle 7?
- Equal: they are corresponding angles
- They add to 180°: they are same-side exterior angles
- Equal: they are alternate exterior angles
Noah rides a bike past two parallel paths crossed by a trail. Angle 4 is (4x + 8)° and angle 8 is 108°. What is x?
Pia rides a bike past two parallel paths crossed by a trail. Angle 6 is (3x + 18)° and angle 4 is 114°. What is x?
Ren draws two parallel lines and a crossing line with a crayon. Angle 3 is (2x − 8)° and angle 5 is 84°. What is x?
10.
Zee draws two parallel lines and a crossing line with a crayon. The crossing line is square to the parallel lines, so angle 2 is 90°. How many degrees is angle 7?
- 180°: angles 2 and 7 lie along one line
- 90°: it matches angle 2, a square corner
- 45°: half of a square corner

8th grade Angles made by a line crossing parallel lines worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Angles made by a line crossing parallel lines. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can name the pairs of angles made when a line crosses two parallel lines, and say which are equal and which add to 180°.
I can find any of the eight angles from one of them, and write and solve an equation for x when the angles are written with x.
I can explain why alternate interior angles are equal and why same-side interior angles add to 180°.

Standard: 8.G.A.5 (parallel lines cut by a transversal)

Words to know

parallel lines: Two lines that never meet and stay the same distance apart. Arrows mark them.

crossing line (transversal): A line that crosses two or more other lines.

interior angles: The four angles between the two parallel lines.

exterior angles: The four angles outside the two parallel lines.

corresponding angles: In the same place at each crossing, like both upper-right. They are equal.

alternate angles: On opposite sides of the crossing line, one at each line. They are equal.

same-side angles: On the same side of the crossing line, one at each line. They add to 180°.

straight line: A line with no bend. Angles side by side along it add to 180°.

Common mistakes

Thought angles that are equal add to 180°. Between parallel lines, corresponding, alternate interior and alternate exterior angles are equal.

Thought angles that add to 180° are equal. Between parallel lines, same-side angles add to 180°.

Used 90° (a square corner) where same-side angles between parallel lines add to 180°.

What to say

Ask: are these two angles in the same place at the two crossings, or on a straight line together?

Ask: is one of the angles big (wide) and the other small (narrow)? Can two equal angles look like that?

Ask: do these two angles together make a square corner or a straight line?

Questions parents ask

What is the most common mistake with angles made by a line crossing parallel lines?

Thought angles that are equal add to 180°. Between parallel lines, corresponding, alternate interior and alternate exterior angles are equal.

How can I help my child with angles made by a line crossing parallel lines?

Ask: are these two angles in the same place at the two crossings, or on a straight line together?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records