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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 362 · 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 complement of 21° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.What is the complement of 15° (in degrees)?
  6. 6.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 89° (in degrees)?
  9. 9.What is the complement of 53° (in degrees)?
  10. 10.What is the supplement of 25° (in degrees)?
  11. 11.What is the supplement of 125° (in degrees)?
  12. 12.What is the supplement of 51° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  20. 20.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Are 67° and 23° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.What is the supplement of 62° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 56° (in degrees)?
  25. 25.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the supplement of 118° (in degrees)?
  28. 28.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 140° (in degrees)?
  31. 31.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.What is the complement of 42° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 112° (in degrees)?
  36. 36.What is the complement of 43° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 34° (in degrees)?
  39. 39.Are 56° and 21° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?

Answer key

  1. 69
  2. 31
  3. 105
  4. Complementary
  5. 75
  6. 107
  7. 59
  8. 91
  9. 37
  10. 155
  11. 55
  12. 129
  13. 124
  14. 96
  15. 144
  16. 130
  17. 114
  18. Complementary
  19. 30
  20. Complementary
  21. Complementary
  22. 118
  23. 152
  24. 34
  25. 133
  26. 113
  27. 62
  28. 98
  29. 56
  30. 40
  31. Complementary
  32. 48
  33. 131
  34. 66
  35. 68
  36. 47
  37. 72
  38. 146
  39. Neither
  40. 67

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