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. Pia draws two rays from one point on a straight line on paper, making three angles: (2x)°, (3x + 10)° and (4x + 8)°. How many degrees is the largest angle?

  3. 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?

  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. Ari draws a square corner on paper and splits it with one ray. One part is 10° less than three times the other. How many degrees is the bigger part?

  6. 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?

  7. 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?

  8. 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?

  9. 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?

  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. Pia draws two rays from one point on a straight line on paper, making three angles: (2x)°, (3x + 10)° and (4x + 8)°. How many degrees is the largest angle?

    80
  3. 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
  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. Ari draws a square corner on paper and splits it with one ray. One part is 10° less than three times the other. How many degrees is the bigger part?

    65
  6. 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
  7. 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
  8. 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
  9. 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
  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