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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 733 · 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 40°. What is its corresponding angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  3. 3.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 73° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  9. 9.What is the complement of 45° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 19° (in degrees)?
  13. 13.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 40° and 78° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.What is the complement of 59° (in degrees)?
  17. 17.What is the complement of 11° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 70° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.What is the supplement of 51° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 133° (in degrees)?
  25. 25.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 6° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 38° (in degrees)?
  32. 32.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 42° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  39. 39.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 29° (in degrees)?

Answer key

  1. 40
  2. 65
  3. 47
  4. 17
  5. 86
  6. 31
  7. 75
  8. 32
  9. 45
  10. 119
  11. 46
  12. 71
  13. Complementary
  14. 72
  15. Neither
  16. 31
  17. 79
  18. 28
  19. 55
  20. Supplementary
  21. 129
  22. 91
  23. 128
  24. 47
  25. 56
  26. 84
  27. 68
  28. Complementary
  29. 134
  30. 91
  31. 142
  32. 137
  33. 111
  34. 27
  35. 98
  36. 138
  37. 128
  38. 101
  39. 73
  40. 61

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