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

Grade 8 Math Worksheet

NameDate

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

  1. Noah's door opens against a straight wall. The angles on its two sides are (2x + 25)° and (3x − 5)°. Write an equation for x.

  2. Pia sketches the wheelchair ramp at school. The ramp meets the flat ground, making angles of (6x)° and (2x + 20)° on its two sides. Write an equation for x.

  3. Ren's seam splits the square corner of a quilt patch into (2x + 5)° and (x + 10)°. Write an equation for x.

  4. Two roads meet in a straight line in Zee's paper sketch, with angles of (5x + 10)° and (3x + 10)° side by side. How many degrees is the (5x + 10)° angle?

  5. A straight line splits a square corner of Ari's window into (3x + 7)° and (x + 3)°. How many degrees is the (3x + 7)° angle?

  6. Bo's door opens against a straight wall, making angles of (4x + 10)° and (2x + 26)° side by side. How many degrees is the (4x + 10)° angle?

  7. Jun's scissor blades cross. Two angles across from each other are (5x − 12)° and (3x + 20)°. What is x?

  8. Kira draws two straight roads crossing on paper, making angles of (6x + 4)° and (2x + 40)° across from each other. What is x?

  9. Luz draws two crossing lines on a clock face sketch. Two angles across from each other are (6x − 10)° and (4x + 16)°. What is x?

  10. Milo folds paper so two creases cross. Two angles across from each other are (5x − 6)° and (3x + 28)°. What is x?

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

Answer Key - Grade 8 Math Worksheet

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

  1. Noah's door opens against a straight wall. The angles on its two sides are (2x + 25)° and (3x − 5)°. Write an equation for x.

    2x + 25 + 3x − 5 = 180
  2. Pia sketches the wheelchair ramp at school. The ramp meets the flat ground, making angles of (6x)° and (2x + 20)° on its two sides. Write an equation for x.

    6x + 2x + 20 = 180
  3. Ren's seam splits the square corner of a quilt patch into (2x + 5)° and (x + 10)°. Write an equation for x.

    2x + 5 + x + 10 = 90
  4. Two roads meet in a straight line in Zee's paper sketch, with angles of (5x + 10)° and (3x + 10)° side by side. How many degrees is the (5x + 10)° angle?

    110
  5. A straight line splits a square corner of Ari's window into (3x + 7)° and (x + 3)°. How many degrees is the (3x + 7)° angle?

    67
  6. Bo's door opens against a straight wall, making angles of (4x + 10)° and (2x + 26)° side by side. How many degrees is the (4x + 10)° angle?

    106
  7. Jun's scissor blades cross. Two angles across from each other are (5x − 12)° and (3x + 20)°. What is x?

    16
  8. Kira draws two straight roads crossing on paper, making angles of (6x + 4)° and (2x + 40)° across from each other. What is x?

    9
  9. Luz draws two crossing lines on a clock face sketch. Two angles across from each other are (6x − 10)° and (4x + 16)°. What is x?

    13
  10. Milo folds paper so two creases cross. Two angles across from each other are (5x − 6)° and (3x + 28)°. What is x?

    17