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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 685 · 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.What is the complement of 58° (in degrees)?
  2. 2.What is the complement of 56° (in degrees)?
  3. 3.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the supplement of 26° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  7. 7.What is the supplement of 76° (in degrees)?
  8. 8.What is the supplement of 59° (in degrees)?
  9. 9.What is the complement of 5° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 156° (in degrees)?
  13. 13.What is the complement of 15° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  15. 15.What is the complement of 67° (in degrees)?
  16. 16.Are 19° and 161° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 6° (in degrees)?
  25. 25.What is the complement of 37° (in degrees)?
  26. 26.Are 29° and 142° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.What is the supplement of 23° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 84° (in degrees)?
  30. 30.What is the complement of 52° (in degrees)?
  31. 31.What is the supplement of 40° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 72° (in degrees)?
  37. 37.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 61° (in degrees)?
  39. 39.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 113°. What is its corresponding angle (in degrees)?

Answer key

  1. 32
  2. 34
  3. 95
  4. 136
  5. 154
  6. 97
  7. 104
  8. 121
  9. 85
  10. 29
  11. 134
  12. 24
  13. 75
  14. 95
  15. 23
  16. Supplementary
  17. 147
  18. 70
  19. 111
  20. 90
  21. 100
  22. 56
  23. 56
  24. 84
  25. 53
  26. Neither
  27. 157
  28. 37
  29. 6
  30. 38
  31. 140
  32. 48
  33. 113
  34. 139
  35. 156
  36. 18
  37. 50
  38. 29
  39. 140
  40. 113

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