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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 156 · 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 54° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 77° (in degrees)?
  3. 3.What is the supplement of 152° (in degrees)?
  4. 4.What is the complement of 44° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 161° (in degrees)?
  7. 7.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  11. 11.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.What is the supplement of 136° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 11° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the supplement of 104° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  18. 18.Are 39° and 141° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the complement of 43° (in degrees)?
  21. 21.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 53° (in degrees)?
  24. 24.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)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  26. 26.What is the complement of 51° (in degrees)?
  27. 27.What is the complement of 22° (in degrees)?
  28. 28.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.What is the supplement of 63° (in degrees)?
  30. 30.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  32. 32.What is the supplement of 78° (in degrees)?
  33. 33.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its alternate interior angle (in degrees)?
  36. 36.Are 20° and 7° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 147° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  40. 40.What is the supplement of 111° (in degrees)?

Answer key

  1. 72
  2. 13
  3. 28
  4. 46
  5. 96
  6. 19
  7. 51
  8. 85
  9. 156
  10. 116
  11. Supplementary
  12. 44
  13. 142
  14. 79
  15. 95
  16. 76
  17. 140
  18. Supplementary
  19. 69
  20. 47
  21. 47
  22. 143
  23. 37
  24. 46
  25. 49
  26. 39
  27. 68
  28. Supplementary
  29. 117
  30. 115
  31. 56
  32. 102
  33. 73
  34. 135
  35. 99
  36. Neither
  37. 106
  38. 33
  39. 62
  40. 69

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