Angles made by a line crossing parallel lines
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Zee sees a ladder's parallel rails crossed by a strap. Angle 4 is (2x + 25)° and angle 5 is (3x − 15)°. How many degrees is angle 4?
Ari draws two parallel lines and a crossing line on paper. Angle 2 is (2x + 10)° and angle 6 is (4x − 40)°. How many degrees is angle 2?
Jun rides a bike past two parallel paths crossed by a trail. Angle 3 is (3x − 25)° and angle 5 is (4x − 40)°. How many degrees is angle 3?
Kira draws two parallel lines and a crossing line with a crayon. Angle 4 is (4x − 15)° and angle 6 is (5x − 30)°. How many degrees is angle 4?
Luz sees a ladder's parallel rails crossed by a strap. Angle 1 is (5x − 5)° and angle 7 is (2x + 10)°. How many degrees is angle 1?
Milo draws two parallel lines and a crossing line on paper. Angle 2 is (5x − 30)° and angle 8 is (3x + 10)°. How many degrees is angle 2?
Pia draws triangle GHQ and a line through the top corner Q parallel to the base. The base angles are 38° and 77°. How many degrees is the angle at Q?
Zee draws two parallel lines and a crossing line with a crayon. Angle 4 is (3x + 20)° and angle 5 is (5x − 40)°. Which equation finds x?
- 3x + 20 = 5x − 40
- 3x + 20 = 5x + 40
- 3x + 20 + 5x − 40 = 180
Esme watches a toy train on two parallel rails crossed by a road. Angle 1 is (5x − 5)° and angle 7 is (3x + 25)°. Which equation finds x?
- 5x − 5 = 3x + 25
- 5x − 5 + 3x + 25 = 180
- 5x − 5 − 3x + 25 = 180
Jun draws two parallel lines and a crossing line. Why are alternate interior angles 3 and 6 equal?
- Because angle 3 and angle 6 are on a straight line, and a straight line is 180°
- Because angle 3 is the same size as angle 4, and angle 4 is next to angle 6, so they match
- Because angle 3 is equal to its corresponding angle 7, and angle 7 is vertical to angle 6