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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 431 · 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 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 70° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  6. 6.What is the complement of 17° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 104° (in degrees)?
  10. 10.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 70° (in degrees)?
  12. 12.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 64° (in degrees)?
  15. 15.What is the complement of 9° (in degrees)?
  16. 16.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 51° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the complement of 13° (in degrees)?
  24. 24.What is the supplement of 101° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Are 52° and 38° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the complement of 58° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  31. 31.What is the complement of 77° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the complement of 22° (in degrees)?
  34. 34.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 85° (in degrees)?
  36. 36.What is the complement of 23° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  38. 38.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 129
  2. 121
  3. 110
  4. 104
  5. 42
  6. 73
  7. 144
  8. 137
  9. 76
  10. 111
  11. 20
  12. 55
  13. 50
  14. 26
  15. 81
  16. Complementary
  17. Complementary
  18. Complementary
  19. 51
  20. 39
  21. 134
  22. 45
  23. 77
  24. 79
  25. 56
  26. 112
  27. 145
  28. Complementary
  29. 32
  30. 96
  31. 13
  32. 41
  33. 68
  34. 65
  35. 5
  36. 67
  37. 148
  38. Supplementary
  39. 78
  40. 74

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