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

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Noah folds a paper strip so that three angles, (x + 5)°, (2x + 10)° and (3x + 15)°, sit side by side along its straight edge. How many degrees is the largest angle?

  2. In Ren's paper sketch, three paths leave one point on a straight road, making angles of (x + 14)°, (2x − 5)° and (5x − 5)°. How many degrees is the largest angle?

  3. Tala opens two doors from one hinge line against a straight wall, making angles of (3x + 6)°, (2x + 14)° and (4x − 2)°. How many degrees is the largest angle?

  4. Zee's kite string meets the flat ground. One angle is 15° more than twice the other, and the two lie on a straight line. How many degrees is the bigger angle?

  5. Bo's ramp board makes two angles with the flat ground. One is 5° more than four times the other. How many degrees is the bigger angle?

  6. A straight line splits a square corner of Esme's window. One part is 6° more than twice the other. How many degrees is the bigger part?

  7. Jun's scissor blades cross. Two angles side by side are (4x + 10)° and (2x + 20)°. How many degrees is the angle across from the (2x + 20)° angle?

  8. Kira draws two roads crossing on paper. Two angles side by side are (5x + 15)° and (3x + 5)°. How many degrees is the angle across from the (3x + 5)° angle?

  9. Luz draws two lines crossing on a clock face. Side by side are (3x + 24)° and (2x + 6)°. How many degrees is the angle across from the (2x + 6)° angle?

  10. Two paper creases cross on Milo's sheet. Side by side are (6x − 6)° and (2x + 26)°. How many degrees is the angle across from the (2x + 26)° angle?

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

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Noah folds a paper strip so that three angles, (x + 5)°, (2x + 10)° and (3x + 15)°, sit side by side along its straight edge. How many degrees is the largest angle?

    90
  2. In Ren's paper sketch, three paths leave one point on a straight road, making angles of (x + 14)°, (2x − 5)° and (5x − 5)°. How many degrees is the largest angle?

    105
  3. Tala opens two doors from one hinge line against a straight wall, making angles of (3x + 6)°, (2x + 14)° and (4x − 2)°. How many degrees is the largest angle?

    70
  4. Zee's kite string meets the flat ground. One angle is 15° more than twice the other, and the two lie on a straight line. How many degrees is the bigger angle?

    125
  5. Bo's ramp board makes two angles with the flat ground. One is 5° more than four times the other. How many degrees is the bigger angle?

    145
  6. A straight line splits a square corner of Esme's window. One part is 6° more than twice the other. How many degrees is the bigger part?

    62
  7. Jun's scissor blades cross. Two angles side by side are (4x + 10)° and (2x + 20)°. How many degrees is the angle across from the (2x + 20)° angle?

    70
  8. Kira draws two roads crossing on paper. Two angles side by side are (5x + 15)° and (3x + 5)°. How many degrees is the angle across from the (3x + 5)° angle?

    65
  9. Luz draws two lines crossing on a clock face. Side by side are (3x + 24)° and (2x + 6)°. How many degrees is the angle across from the (2x + 6)° angle?

    66
  10. Two paper creases cross on Milo's sheet. Side by side are (6x − 6)° and (2x + 26)°. How many degrees is the angle across from the (2x + 26)° angle?

    66