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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 183 · 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 39° (in degrees)?
  2. 2.What is the complement of 19° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 16° (in degrees)?
  6. 6.What is the complement of 63° (in degrees)?
  7. 7.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  14. 14.What is the complement of 23° (in degrees)?
  15. 15.What is the supplement of 163° (in degrees)?
  16. 16.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 121° (in degrees)?
  20. 20.What is the complement of 22° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  22. 22.What is the complement of 33° (in degrees)?
  23. 23.What is the complement of 69° (in degrees)?
  24. 24.What is the complement of 26° (in degrees)?
  25. 25.What is the complement of 31° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.What is the supplement of 56° (in degrees)?
  28. 28.Are 49° and 131° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 33° (in degrees)?
  35. 35.What is the complement of 72° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  37. 37.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the complement of 71° (in degrees)?
  39. 39.What is the supplement of 58° (in degrees)?
  40. 40.What is the complement of 77° (in degrees)?

Answer key

  1. 51
  2. 71
  3. 91
  4. 59
  5. 74
  6. 27
  7. 60
  8. 56
  9. 88
  10. 29
  11. Supplementary
  12. 44
  13. 57
  14. 67
  15. 17
  16. 148
  17. 61
  18. 73
  19. 59
  20. 68
  21. 35
  22. 57
  23. 21
  24. 64
  25. 59
  26. 131
  27. 124
  28. Supplementary
  29. 85
  30. 40
  31. 145
  32. 77
  33. 108
  34. 147
  35. 18
  36. 75
  37. Complementary
  38. 19
  39. 122
  40. 13

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