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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 934 · 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 angle is 117°. What is its corresponding angle (in degrees)?
  2. 2.What is the complement of 55° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the supplement of 148° (in degrees)?
  8. 8.Are 57° and 30° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.What is the supplement of 117° (in degrees)?
  10. 10.What is the complement of 22° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its alternate interior angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 6° (in degrees)?
  15. 15.What is the complement of 27° (in degrees)?
  16. 16.What is the complement of 13° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the complement of 42° (in degrees)?
  19. 19.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  25. 25.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the supplement of 82° (in degrees)?
  27. 27.What is the complement of 40° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 68°. What is the angle next to it on the same line (in degrees)?
  29. 29.Are 53° and 37° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.What is the complement of 83° (in degrees)?
  31. 31.What is the complement of 37° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 38° (in degrees)?
  34. 34.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 39° (in degrees)?
  36. 36.What is the complement of 8° (in degrees)?
  37. 37.What is the supplement of 36° (in degrees)?
  38. 38.What is the complement of 64° (in degrees)?
  39. 39.What is the complement of 71° (in degrees)?
  40. 40.What is the supplement of 162° (in degrees)?

Answer key

  1. 117
  2. 35
  3. 23
  4. 129
  5. 56
  6. 53
  7. 32
  8. Neither
  9. 63
  10. 68
  11. 100
  12. 121
  13. 62
  14. 84
  15. 63
  16. 77
  17. 122
  18. 48
  19. 91
  20. 67
  21. 79
  22. 151
  23. 100
  24. 49
  25. Complementary
  26. 98
  27. 50
  28. 112
  29. Complementary
  30. 7
  31. 53
  32. 93
  33. 142
  34. 64
  35. 141
  36. 82
  37. 144
  38. 26
  39. 19
  40. 18

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