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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 776 · 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 supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 42° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 126° (in degrees)?
  5. 5.What is the complement of 55° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 4° 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 88°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 137° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 43° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  14. 14.What is the supplement of 36° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 53° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 54° and 79° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  21. 21.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 18° (in degrees)?
  24. 24.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 13° (in degrees)?
  26. 26.What is the supplement of 85° (in degrees)?
  27. 27.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.What is the supplement of 51° (in degrees)?
  30. 30.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Are 51° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 156° (in degrees)?
  36. 36.What is the supplement of 127° (in degrees)?
  37. 37.What is the supplement of 17° (in degrees)?
  38. 38.What is the complement of 11° (in degrees)?
  39. 39.Are 37° and 101° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.What is the complement of 31° (in degrees)?

Answer key

  1. 101
  2. 138
  3. 53
  4. 54
  5. 35
  6. 55
  7. 92
  8. 92
  9. 43
  10. 124
  11. 140
  12. 47
  13. 150
  14. 144
  15. 154
  16. Supplementary
  17. 141
  18. Neither
  19. 123
  20. 99
  21. 46
  22. 147
  23. 72
  24. 49
  25. 77
  26. 95
  27. 133
  28. Complementary
  29. 129
  30. 68
  31. 73
  32. 53
  33. Complementary
  34. 63
  35. 24
  36. 53
  37. 163
  38. 79
  39. Neither
  40. 59

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