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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 434 · 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 straight lines cross each other. One of the angles formed is 95°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 12° and 27° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the complement of 61° (in degrees)?
  7. 7.What is the complement of 8° (in degrees)?
  8. 8.What is the supplement of 122° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  11. 11.Are 58° and 32° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.What is the supplement of 90° (in degrees)?
  13. 13.Are 21° and 159° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  15. 15.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 19° (in degrees)?
  22. 22.What is the complement of 35° (in degrees)?
  23. 23.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 13° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 32° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 58° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  33. 33.What is the supplement of 149° (in degrees)?
  34. 34.What is the complement of 11° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 46° and 167° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 75° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 85
  2. 117
  3. 47
  4. Neither
  5. 119
  6. 29
  7. 82
  8. 58
  9. 54
  10. 101
  11. Complementary
  12. 90
  13. Supplementary
  14. 118
  15. Complementary
  16. 117
  17. Complementary
  18. 75
  19. 138
  20. 130
  21. 71
  22. 55
  23. 150
  24. 77
  25. 78
  26. 58
  27. 136
  28. 79
  29. Complementary
  30. 51
  31. 32
  32. 73
  33. 31
  34. 79
  35. 91
  36. 31
  37. Neither
  38. Supplementary
  39. 54
  40. Complementary

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