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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 503 · 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 20° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 43° (in degrees)?
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 90°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the supplement of 29° (in degrees)?
  7. 7.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)?
  8. 8.What is the supplement of 91° (in degrees)?
  9. 9.What is the supplement of 143° (in degrees)?
  10. 10.Are 77° and 16° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Are 37° and 150° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Are 14° and 50° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Are 78° and 126° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.What is the supplement of 41° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the complement of 64° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 87°. What is its corresponding angle (in degrees)?
  21. 21.What is the supplement of 18° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  23. 23.Are 80° and 100° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.What is the supplement of 148° (in degrees)?
  25. 25.What is the supplement of 142° (in degrees)?
  26. 26.What is the complement of 26° (in degrees)?
  27. 27.What is the complement of 59° (in degrees)?
  28. 28.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 32° and 58° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are complementary. One is 12° 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 92°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Are 50° and 105° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.What is the complement of 36° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  39. 39.What is the complement of 37° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 55
  2. 47
  3. 62
  4. 90
  5. Supplementary
  6. 151
  7. 140
  8. 89
  9. 37
  10. Neither
  11. Neither
  12. Neither
  13. Neither
  14. 139
  15. 87
  16. 113
  17. 26
  18. 143
  19. 38
  20. 87
  21. 162
  22. 40
  23. Supplementary
  24. 32
  25. 38
  26. 64
  27. 31
  28. 144
  29. Complementary
  30. 147
  31. 51
  32. 88
  33. Neither
  34. 50
  35. Supplementary
  36. Supplementary
  37. 54
  38. 98
  39. 53
  40. 151

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