Angles made by a line crossing parallel lines
Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ari draws two parallel lines and a crossing line on paper. Angle 2 is 68°, and the sketch marks angles 2 and 6 as equal. How many degrees is angle 6?
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?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 6 is upper-right at the bottom crossing. Angles 3 and 6 are alternate interior angles, marked with the same arc. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 6 is upper-right at the bottom crossing. Angles 3 and 6 are alternate interior angles, marked with the same arc. Two parallel lines marked with arrows are cut by a crossing line 1 2 3 4 5 6 7 8 Angles 3 and 6 are alternate interior angles Not to scale. 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?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 4 is lower-right at the top crossing, and angle 8 is lower-right at the bottom crossing. Angles 4 and 8 are corresponding angles, marked with the same arc. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 4 is lower-right at the top crossing, and angle 8 is lower-right at the bottom crossing. Angles 4 and 8 are corresponding angles, marked with the same arc. 1 2 3 4 5 6 7 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?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 5 is upper-left at the bottom crossing. Angles 3 and 5 are same-side interior angles, marked “+ = 180°”. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 5 is upper-left at the bottom crossing. Angles 3 and 5 are same-side interior angles, marked “+ = 180°”. same-side interior angles 1 2 3 4 5 6 7 8 + = 180° Not to scale. 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?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 1 is upper-left at the top crossing, and angle 7 is lower-left at the bottom crossing. Angles 1 and 7 are same-side exterior angles, marked “+ = 180°”. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 1 is upper-left at the top crossing, and angle 7 is lower-left at the bottom crossing. Angles 1 and 7 are same-side exterior angles, marked “+ = 180°”. same-side exterior angles 1 2 3 4 5 6 7 8 + = 180° Not to scale. 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?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 2 is upper-right at the top crossing, and angle 8 is lower-right at the bottom crossing. Angles 2 and 8 are same-side exterior angles, marked “+ = 180°”. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 2 is upper-right at the top crossing, and angle 8 is lower-right at the bottom crossing. Angles 2 and 8 are same-side exterior angles, marked “+ = 180°”. same-side exterior angles 1 2 3 4 5 6 7 8 + = 180° Not to scale. Pia watches a toy train on two parallel rails crossed by a road. What kind of pair are angle 3 and angle 6?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 6 is upper-right at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 6 is upper-right at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. 1 2 3 4 5 6 7 8 Not to scale. - same-side interior angles
- corresponding angles
- alternate interior angles
Ren draws two parallel lines and a crossing line with a pencil. What kind of pair are angle 2 and angle 6?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 2 is upper-right at the top crossing, and angle 6 is upper-right at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 2 is upper-right at the top crossing, and angle 6 is upper-right at the bottom crossing. 1 2 3 4 5 6 7 8 Not to scale. - alternate exterior angles
- same-side exterior angles
- corresponding angles
Tala rides a bike past two parallel paths crossed by a trail. What kind of pair are angle 3 and angle 5?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 5 is upper-left at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 3 is lower-left at the top crossing, and angle 5 is upper-left at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. 1 2 3 4 5 6 7 8 Not to scale. - corresponding angles
- alternate exterior angles
- same-side interior angles
Zee draws two parallel lines and a crossing line with a crayon. What kind of pair are angle 1 and angle 8?
Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 1 is upper-left at the top crossing, and angle 8 is lower-right at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. At the top crossing the angles are 1 (upper-left), 2 (upper-right), 3 (lower-left) and 4 (lower-right); the bottom crossing is numbered 5 to 8 the same way (sketch, not to scale). Angle 1 is upper-left at the top crossing, and angle 8 is lower-right at the bottom crossing. Two parallel lines (marked with arrows) are cut by a crossing line. 1 2 3 4 5 6 7 8 Not to scale. - alternate exterior angles
- alternate interior angles
- same-side exterior angles