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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 671 · 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 96°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 23° (in degrees)?
  9. 9.What is the complement of 47° (in degrees)?
  10. 10.What is the complement of 33° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 148° (in degrees)?
  13. 13.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  14. 14.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)?
  15. 15.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 71° (in degrees)?
  19. 19.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 21° (in degrees)?
  21. 21.What is the supplement of 10° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 22° (in degrees)?
  26. 26.What is the complement of 11° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  28. 28.What is the complement of 17° (in degrees)?
  29. 29.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 62° and 118° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the supplement of 62° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  33. 33.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 12° (in degrees)?
  35. 35.Are 42° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.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)?
  37. 37.What is the complement of 31° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the complement of 8° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 96
  2. 43
  3. 86
  4. 96
  5. Complementary
  6. 132
  7. 48
  8. 67
  9. 43
  10. 57
  11. 38
  12. 32
  13. 57
  14. 125
  15. Supplementary
  16. 45
  17. 124
  18. 109
  19. 73
  20. 159
  21. 170
  22. 137
  23. 118
  24. 21
  25. 68
  26. 79
  27. 149
  28. 73
  29. 49
  30. Supplementary
  31. 118
  32. 136
  33. 107
  34. 168
  35. Neither
  36. 129
  37. 59
  38. 133
  39. 82
  40. 147

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