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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 657 · 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 139°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 52° and 127° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 14° and 134° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.What is the supplement of 98° (in degrees)?
  8. 8.What is the supplement of 172° (in degrees)?
  9. 9.What is the supplement of 113° (in degrees)?
  10. 10.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 59° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 62° and 28° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the supplement of 87° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 5° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 57° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 28° and 90° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 41° (in degrees)?
  28. 28.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 60°. What is its corresponding angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  32. 32.What is the complement of 83° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 74° (in degrees)?
  35. 35.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 38° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 139
  2. Neither
  3. 158
  4. Neither
  5. Complementary
  6. Supplementary
  7. 82
  8. 8
  9. 67
  10. 51
  11. 33
  12. 31
  13. 44
  14. 150
  15. Complementary
  16. 93
  17. 87
  18. 118
  19. 59
  20. 151
  21. 175
  22. 125
  23. 33
  24. 86
  25. Neither
  26. 133
  27. 49
  28. 68
  29. 60
  30. 100
  31. 43
  32. 7
  33. 153
  34. 16
  35. 103
  36. 69
  37. 124
  38. 110
  39. 52
  40. 61

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