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. 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.

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

  3. The blades of Tala's scissors cross, and two angles across from each other are (6x − 8)° and (4x + 22)°. 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. 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?

  6. A seam splits the square corner of Esme's quilt patch into (2x + 8)° and (x + 7)°. How many degrees is the (2x + 8)° 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. 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
  2. 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
  3. The blades of Tala's scissors cross, and two angles across from each other are (6x − 8)° and (4x + 22)°. Write an equation for x.

    6x − 8 = 4x + 22
  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. 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
  6. A seam splits the square corner of Esme's quilt patch into (2x + 8)° and (x + 7)°. How many degrees is the (2x + 8)° angle?

    58
  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