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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 400 · 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.What is the complement of 65° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  4. 4.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.What is the complement of 52° (in degrees)?
  6. 6.Are 33° and 57° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 118°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 55° (in degrees)?
  10. 10.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  12. 12.Are 25° and 65° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 52° and 128° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the supplement of 81° (in degrees)?
  19. 19.What is the supplement of 135° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  22. 22.Are 72° and 18° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.What is the complement of 54° (in degrees)?
  24. 24.Are 39° and 70° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 164° (in degrees)?
  27. 27.What is the complement of 26° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 59° (in degrees)?
  30. 30.What is the complement of 47° (in degrees)?
  31. 31.What is the supplement of 83° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the complement of 31° (in degrees)?
  34. 34.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 70° (in degrees)?
  36. 36.What is the complement of 57° (in degrees)?
  37. 37.What is the supplement of 5° (in degrees)?
  38. 38.What is the supplement of 97° (in degrees)?
  39. 39.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 25
  2. 23
  3. 58
  4. Complementary
  5. 38
  6. Complementary
  7. 105
  8. 62
  9. 35
  10. 155
  11. 129
  12. Complementary
  13. 106
  14. Supplementary
  15. 65
  16. 98
  17. 89
  18. 99
  19. 45
  20. 115
  21. 132
  22. Complementary
  23. 36
  24. Neither
  25. 111
  26. 16
  27. 64
  28. 155
  29. 31
  30. 43
  31. 97
  32. 66
  33. 59
  34. 75
  35. 20
  36. 33
  37. 175
  38. 83
  39. 50
  40. 71

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