Missing angles with letters: straight lines, corners and crossing lines
Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Noah opens craft scissors, and the blades cross. Two angles across from each other are (3x + 12)° and (5x − 20)°. Which equation fits the sketch?
- 3x + 12 + 5x − 20 = 180
- 3x + 12 = 5x − 20
- 3x + 12 + 5x − 20 = 90
Pia's ramp board rests on flat ground. The angles on each side of it are (2x + 30)° and (4x)°. Which equation fits the sketch?
Sketch, not to scale: a straight line with a ray from it; the two angles side by side, (2x + 30)° and (4x)°, with 180° written along the line. Sketch, not to scale: a straight line with a ray from it; the two angles side by side, (2x + 30)° and (4x)°, with 180° written along the line. (2x + 30)° (4x)° 180° Not to scale. - 2x + 30 + 4x = 90
- 2x + 30 + 4x = 180
- 2x + 30 = 4x
Ren sews a straight seam out from the square corner of a quilt patch, splitting it into (x + 15)° and (2x)°. Which equation fits the sketch?
Sketch, not to scale: a square corner (right-angle mark) split by a ray into (x + 15)° and (2x)°, with 90° written in the corner. Sketch, not to scale: a square corner (right-angle mark) split by a ray into (x + 15)° and (2x)°, with 90° written in the corner. 90° (x + 15)° (2x)° Not to scale. - x + 15 + 2x = 90
- x + 15 = 2x
- x + 15 + 2x = 180
Tala draws two straight paths crossing on paper. Two angles across from each other are (4x − 10)° and (2x + 30)°. Which equation fits the sketch?
Sketch, not to scale: two straight lines crossing; the two angles across from each other carry the same equal mark: (4x − 10)° and (2x + 30)°. Sketch, not to scale: two straight lines crossing; the two angles across from each other carry the same equal mark: (4x − 10)° and (2x + 30)°. (4x - 10)° (2x + 30)° Not to scale. - 4x − 10 + 2x + 30 = 90
- 4x − 10 + 2x + 30 = 180
- 4x − 10 = 2x + 30
Zee solved an angle equation and found x = 23. In the sketch, the door's angle is (3x + 11)°. How many degrees is it?
Sketch, not to scale: the angle marked (3x + 11)°, with x = 23 written beside it. Sketch, not to scale: the angle marked (3x + 11)°, with x = 23 written beside it. Sketch, not to scale (3x + 11)° x = 23 Bo solved an angle equation and found x = 12. In the sketch, the angle between the clock hands is (6x + 15)°. How many degrees is it?
Sketch, not to scale: the angle marked (6x + 15)°, with x = 12 written beside it. Sketch, not to scale: the angle marked (6x + 15)°, with x = 12 written beside it. (6x + 15)° x = 12 Not to scale. Esme solved an angle equation and found x = 29. In the sketch, the scissors' angle is (2x + 37)°. How many degrees is it?
Sketch, not to scale: the angle marked (2x + 37)°, with x = 29 written beside it. Sketch, not to scale: the angle marked (2x + 37)°, with x = 29 written beside it. (2x + 37)° x = 29 Not to scale. Jun's ramp board rests on flat ground. The angles on its two sides are (2x + 16)° and (3x + 9)°. The sketch writes 180° along the ground. What is x?
Sketch, not to scale: a straight line with a ray from it; the two angles are (2x + 16)° and (3x + 9)°, with 180° along the straight line. Sketch, not to scale: a straight line with a ray from it; the two angles are (2x + 16)° and (3x + 9)°, with 180° along the straight line. (2x + 16)° (3x + 9)° 180° Not to scale. A straight crack runs out from the square corner of Kira's window pane, making angles of (x + 12)° and (2x + 6)°. The sketch writes 90°. What is x?
Sketch, not to scale: a square corner split by a ray; the two angles are (x + 12)° and (2x + 6)°, with 90° in the square corner. Sketch, not to scale: a square corner split by a ray; the two angles are (x + 12)° and (2x + 6)°, with 90° in the square corner. (x + 12)° (2x + 6)° 90° Not to scale. Milo folds the square corner of a paper sheet, splitting it into (3x − 6)° and (x + 4)°. The sketch writes 90° in the corner. What is x?
Sketch, not to scale: a square corner split by a ray; the two angles are (3x − 6)° and (x + 4)°, with 90° in the square corner. Sketch, not to scale: a square corner split by a ray; the two angles are (3x − 6)° and (x + 4)°, with 90° in the square corner. (3x - 6)° (x + 4)° 90° Not to scale.