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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 927 · 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 88°. What is its alternate interior angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  4. 4.What is the supplement of 23° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 92°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 113° (in degrees)?
  7. 7.What is the supplement of 51° (in degrees)?
  8. 8.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 77° and 26° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 50°. 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 84°. What is the angle next to it on the same line (in degrees)?
  13. 13.Are 58° and 122° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.What is the complement of 5° (in degrees)?
  15. 15.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the supplement of 140° (in degrees)?
  17. 17.What is the supplement of 133° (in degrees)?
  18. 18.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the complement of 6° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  22. 22.Are 67° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 39° (in degrees)?
  26. 26.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 27° and 133° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 44° (in degrees)?
  30. 30.What is the complement of 72° (in degrees)?
  31. 31.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Are 19° and 161° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.What is the complement of 61° (in degrees)?
  37. 37.What is the complement of 60° (in degrees)?
  38. 38.Are 71° and 19° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Are 30° and 138° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?

Answer key

  1. 88
  2. 58
  3. 124
  4. 157
  5. 88
  6. 67
  7. 129
  8. 143
  9. 66
  10. Neither
  11. 130
  12. 96
  13. Supplementary
  14. 85
  15. Supplementary
  16. 40
  17. 47
  18. Complementary
  19. 71
  20. 84
  21. 102
  22. Neither
  23. 146
  24. Complementary
  25. 141
  26. 116
  27. Neither
  28. 63
  29. 136
  30. 18
  31. 49
  32. 65
  33. 100
  34. Complementary
  35. Supplementary
  36. 29
  37. 30
  38. Complementary
  39. Neither
  40. 101

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