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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 817 · 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 angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  3. 3.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.What is the supplement of 160° (in degrees)?
  5. 5.What is the supplement of 154° (in degrees)?
  6. 6.What is the complement of 53° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 12° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  10. 10.What is the complement of 30° (in degrees)?
  11. 11.What is the supplement of 34° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  17. 17.Are 37° and 57° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.What is the complement of 14° (in degrees)?
  19. 19.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.What is the supplement of 97° (in degrees)?
  21. 21.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.What is the supplement of 126° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 26° and 99° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  30. 30.Are 31° and 149° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the supplement of 115° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 24° (in degrees)?
  37. 37.What is the supplement of 31° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 49° and 91° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 62
  2. 35
  3. Complementary
  4. 20
  5. 26
  6. 37
  7. 72
  8. 78
  9. 45
  10. 60
  11. 146
  12. 63
  13. 52
  14. 105
  15. 122
  16. 115
  17. Neither
  18. 76
  19. Complementary
  20. 83
  21. Complementary
  22. 54
  23. 150
  24. 71
  25. Neither
  26. 61
  27. 46
  28. 48
  29. 92
  30. Supplementary
  31. 133
  32. 65
  33. 86
  34. 97
  35. 91
  36. 156
  37. 149
  38. 101
  39. Neither
  40. 31

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