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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 140 · 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.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  4. 4.Are 35° and 142° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Are 59° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.What is the supplement of 66° (in degrees)?
  7. 7.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 10° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 157° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Are 55° and 35° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the complement of 65° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 67° (in degrees)?
  20. 20.What is the complement of 83° (in degrees)?
  21. 21.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 25° (in degrees)?
  24. 24.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 74° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the supplement of 40° (in degrees)?
  29. 29.What is the complement of 22° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  32. 32.What is the supplement of 129° (in degrees)?
  33. 33.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 7° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 66° (in degrees)?
  39. 39.Are 48° and 132° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.What is the supplement of 167° (in degrees)?

Answer key

  1. 77
  2. 80
  3. 56
  4. Neither
  5. Neither
  6. 114
  7. 56
  8. 80
  9. 46
  10. 101
  11. 122
  12. 23
  13. 87
  14. Supplementary
  15. 37
  16. Complementary
  17. 25
  18. 105
  19. 23
  20. 7
  21. 54
  22. 64
  23. 65
  24. Complementary
  25. 59
  26. 16
  27. 63
  28. 140
  29. 68
  30. 32
  31. 130
  32. 51
  33. 149
  34. 83
  35. 46
  36. 23
  37. 61
  38. 24
  39. Supplementary
  40. 13

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