Grade 8 · Math

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

6 printable versionsBuilding Confidence10 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 - Building Confidence

NameDate

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

Bo watches a toy train on two parallel rails crossed by a road. Angle 3 is 112°, and the sketch marks angles 3 and 6 as equal. How many degrees is angle 6?
sketch, not to scale. Jun rides a bike past two parallel paths crossed by a trail. Angle 4 is 126°, and the sketch marks angles 4 and 8 as equal. How many degrees is angle 8?
Kira draws two parallel lines and a crossing line with a pencil. Angle 3 is 72°, and the sketch marks angles 3 and 5 as adding to 180°. How many degrees is angle 5?
Luz rides a bike past two parallel paths crossed by a trail. Angle 4 is 105°, and the sketch marks angles 4 and 6 as adding to 180°. How many degrees is angle 6?
Milo draws two parallel lines and a crossing line with a crayon. Angle 1 is 118°, and the sketch marks angles 1 and 7 as adding to 180°. How many degrees is angle 7?
Noah sees a ladder's parallel rails crossed by a strap. Angle 2 is 57°, and the sketch marks angles 2 and 8 as adding to 180°. How many degrees is angle 8?
7.
Pia watches a toy train on two parallel rails crossed by a road. What kind of pair are angle 3 and angle 6?
- same-side interior angles
- alternate interior angles
- corresponding angles
8.
Ren draws two parallel lines and a crossing line with a pencil. What kind of pair are angle 2 and angle 6?
- alternate exterior angles
- same-side exterior angles
- corresponding angles
9.
Zee draws two parallel lines and a crossing line with a crayon. What kind of pair are angle 1 and angle 8?
- alternate exterior angles
- same-side exterior angles
- alternate interior angles
10.
Ari sees a ladder's parallel rails crossed by a strap. What kind of pair are angle 4 and angle 6?
- alternate interior angles
- same-side interior angles
- same-side exterior angles

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