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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 268 · 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 parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 45° and 71° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the complement of 64° (in degrees)?
  5. 5.Are 56° and 89° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  7. 7.What is the supplement of 111° (in degrees)?
  8. 8.Are 14° and 76° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.Are 25° and 30° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 128° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 37° (in degrees)?
  19. 19.What is the complement of 45° (in degrees)?
  20. 20.What is the complement of 21° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  24. 24.What is the complement of 83° (in degrees)?
  25. 25.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the supplement of 69° (in degrees)?
  27. 27.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 41° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the supplement of 7° (in degrees)?
  34. 34.What is the complement of 62° (in degrees)?
  35. 35.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)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 27° (in degrees)?
  38. 38.Are 41° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the complement of 47° (in degrees)?
  40. 40.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 116
  2. 65
  3. Neither
  4. 26
  5. Neither
  6. 131
  7. 69
  8. Complementary
  9. Neither
  10. 66
  11. 34
  12. 140
  13. 51
  14. 112
  15. 52
  16. 88
  17. 78
  18. 143
  19. 45
  20. 69
  21. 40
  22. 99
  23. 59
  24. 7
  25. Complementary
  26. 111
  27. 77
  28. 47
  29. 139
  30. 138
  31. 79
  32. 60
  33. 173
  34. 28
  35. 53
  36. 147
  37. 63
  38. Neither
  39. 43
  40. 52

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