Missing angles with letters: straight lines, corners and crossing lines

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  1. 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
    • 3x + 12 + 5x − 20 = 90
    • 3x + 12 + 5x − 20 = 180
  2. 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?

    • 2x + 30 = 4x
    • 2x + 30 + 4x = 180
    • 2x + 30 + 4x = 90
  3. 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?

    • x + 15 + 2x = 90
    • x + 15 + 2x = 180
    • x + 15 = 2x
  4. 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?

    • 4x − 10 + 2x + 30 = 90
    • 4x − 10 = 2x + 30
    • 4x − 10 + 2x + 30 = 180
  5. Ari solved an angle equation and found x = 31. In the sketch, the kite string's angle is (4x + 6)°. How many degrees is it?

  6. Esme solved an angle equation and found x = 29. In the sketch, the scissors' angle is (2x + 37)°. How many degrees is it?

  7. 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?

  8. 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?

  9. Luz's bike kickstand touches flat ground, making angles of (4x + 7)° and (x + 8)° on each side. The sketch writes 180°. What is x?

  10. 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?

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Missing angles with letters: straight lines, corners and crossing lines

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

  1. 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
    • 3x + 12 + 5x − 20 = 90
    • 3x + 12 + 5x − 20 = 180
  2. 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?

    • 2x + 30 = 4x
    • 2x + 30 + 4x = 180
    • 2x + 30 + 4x = 90
  3. 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?

    • x + 15 + 2x = 90
    • x + 15 + 2x = 180
    • x + 15 = 2x
  4. 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?

    • 4x − 10 + 2x + 30 = 90
    • 4x − 10 = 2x + 30
    • 4x − 10 + 2x + 30 = 180
  5. Ari solved an angle equation and found x = 31. In the sketch, the kite string's angle is (4x + 6)°. How many degrees is it?

    130
  6. Esme solved an angle equation and found x = 29. In the sketch, the scissors' angle is (2x + 37)°. How many degrees is it?

    95
  7. 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?

    31
  8. 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?

    24
  9. Luz's bike kickstand touches flat ground, making angles of (4x + 7)° and (x + 8)° on each side. The sketch writes 180°. What is x?

    33
  10. 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?

    23