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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 12 · 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 supplement of 16° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the supplement of 29° (in degrees)?
  4. 4.What is the complement of 30° (in degrees)?
  5. 5.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  10. 10.What is the supplement of 22° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are supplementary. 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 78°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 42° (in degrees)?
  16. 16.Are 17° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.What is the complement of 82° (in degrees)?
  18. 18.What is the complement of 8° (in degrees)?
  19. 19.Are 69° and 111° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.What is the complement of 40° (in degrees)?
  21. 21.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 50° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.What is the supplement of 99° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  26. 26.What is the supplement of 76° (in degrees)?
  27. 27.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 6° (in degrees)?
  30. 30.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 157° (in degrees)?
  33. 33.What is the complement of 5° (in degrees)?
  34. 34.What is the complement of 15° (in degrees)?
  35. 35.Are 34° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the supplement of 173° (in degrees)?
  37. 37.What is the supplement of 136° (in degrees)?
  38. 38.What is the supplement of 100° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 27° (in degrees)?

Answer key

  1. 164
  2. 33
  3. 151
  4. 60
  5. 121
  6. 102
  7. 52
  8. 47
  9. 56
  10. 158
  11. 22
  12. 53
  13. 97
  14. 78
  15. 138
  16. Neither
  17. 8
  18. 82
  19. Supplementary
  20. 50
  21. 58
  22. 130
  23. 64
  24. 81
  25. 53
  26. 104
  27. 91
  28. 73
  29. 84
  30. 55
  31. 56
  32. 23
  33. 85
  34. 75
  35. Supplementary
  36. 7
  37. 44
  38. 80
  39. 30
  40. 153

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