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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 87 · 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 angle is 88°. What is its corresponding angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Are 78° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 76° and 104° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the supplement of 119° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 158° (in degrees)?
  9. 9.What is the complement of 14° (in degrees)?
  10. 10.What is the supplement of 105° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  12. 12.What is the complement of 47° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 81°. What is its corresponding angle (in degrees)?
  14. 14.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the complement of 24° (in degrees)?
  21. 21.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.What is the supplement of 166° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  26. 26.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.What is the complement of 10° (in degrees)?
  30. 30.What is the supplement of 46° (in degrees)?
  31. 31.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 132° (in degrees)?
  33. 33.Are 51° and 129° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 18° (in degrees)?
  36. 36.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 46° (in degrees)?
  39. 39.What is the supplement of 117° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?

Answer key

  1. 88
  2. 74
  3. Complementary
  4. 76
  5. Supplementary
  6. 61
  7. 117
  8. 22
  9. 76
  10. 75
  11. 54
  12. 43
  13. 81
  14. 95
  15. 92
  16. 53
  17. 54
  18. 51
  19. Supplementary
  20. 66
  21. Complementary
  22. Complementary
  23. Complementary
  24. 14
  25. 126
  26. Complementary
  27. 67
  28. Supplementary
  29. 80
  30. 134
  31. 60
  32. 48
  33. Supplementary
  34. 43
  35. 72
  36. 118
  37. Complementary
  38. 44
  39. 63
  40. 102

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