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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 20 · 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.Are 46° and 120° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Are 70° and 20° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the complement of 45° (in degrees)?
  5. 5.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the complement of 59° (in degrees)?
  7. 7.What is the supplement of 22° (in degrees)?
  8. 8.Are 49° and 41° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Are 65° and 32° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 81° (in degrees)?
  12. 12.What is the complement of 47° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 46° (in degrees)?
  15. 15.What is the supplement of 107° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 66° (in degrees)?
  19. 19.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 39° (in degrees)?
  21. 21.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  24. 24.What is the supplement of 72° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 18° (in degrees)?
  28. 28.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the complement of 31° (in degrees)?
  32. 32.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)?
  33. 33.What is the supplement of 171° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 28° (in degrees)?
  38. 38.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  40. 40.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Neither
  2. Complementary
  3. 104
  4. 45
  5. Complementary
  6. 31
  7. 158
  8. Complementary
  9. Neither
  10. 131
  11. 99
  12. 43
  13. 113
  14. 44
  15. 73
  16. 45
  17. 36
  18. 114
  19. 91
  20. 141
  21. Supplementary
  22. 94
  23. 48
  24. 108
  25. 55
  26. 58
  27. 72
  28. 118
  29. 128
  30. Complementary
  31. 59
  32. 66
  33. 9
  34. 53
  35. 74
  36. 47
  37. 62
  38. 67
  39. 50
  40. 115

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