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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 836 · 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.What is the supplement of 76° (in degrees)?
  2. 2.What is the complement of 43° (in degrees)?
  3. 3.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 13° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 9° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the complement of 77° (in degrees)?
  11. 11.What is the complement of 15° (in degrees)?
  12. 12.What is the complement of 16° (in degrees)?
  13. 13.What is the supplement of 173° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 59° (in degrees)?
  16. 16.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 8° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the supplement of 32° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 72° and 108° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.What is the supplement of 49° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 142° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 72° (in degrees)?
  29. 29.What is the complement of 31° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  31. 31.What is the complement of 6° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  35. 35.Are 36° and 144° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 42° and 138° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the complement of 38° (in degrees)?

Answer key

  1. 104
  2. 47
  3. 94
  4. 125
  5. 77
  6. 121
  7. 171
  8. 34
  9. 114
  10. 13
  11. 75
  12. 74
  13. 7
  14. 65
  15. 121
  16. 50
  17. 172
  18. 142
  19. 148
  20. 76
  21. 67
  22. Supplementary
  23. 131
  24. 83
  25. 38
  26. 137
  27. 149
  28. 108
  29. 59
  30. 137
  31. 84
  32. 95
  33. 79
  34. 137
  35. Supplementary
  36. 75
  37. 73
  38. Supplementary
  39. 119
  40. 52

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