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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 949 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Are 35° and 145° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 116°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 70° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the supplement of 48° (in degrees)?
  7. 7.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 55° (in degrees)?
  9. 9.What is the supplement of 85° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the supplement of 67° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 79° (in degrees)?
  14. 14.What is the supplement of 145° (in degrees)?
  15. 15.What is the complement of 83° (in degrees)?
  16. 16.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 102° (in degrees)?
  18. 18.What is the complement of 11° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 59° (in degrees)?
  23. 23.What is the supplement of 163° (in degrees)?
  24. 24.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 28° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 71° (in degrees)?
  30. 30.What is the complement of 17° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  33. 33.What is the supplement of 49° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 146° (in degrees)?
  36. 36.Are 35° and 72° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.What is the complement of 29° (in degrees)?
  38. 38.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 175° (in degrees)?

Answer key

  1. Supplementary
  2. 56
  3. 79
  4. 64
  5. Supplementary
  6. 132
  7. 64
  8. 35
  9. 95
  10. 149
  11. 113
  12. 135
  13. 11
  14. 35
  15. 7
  16. 106
  17. 78
  18. 79
  19. 113
  20. 54
  21. 112
  22. 121
  23. 17
  24. 70
  25. 54
  26. 152
  27. 149
  28. 51
  29. 19
  30. 73
  31. 144
  32. 121
  33. 131
  34. 151
  35. 34
  36. Neither
  37. 61
  38. 76
  39. 120
  40. 5

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