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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 676 · 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 angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 20° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are supplementary. One is 72° 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 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.What is the complement of 44° (in degrees)?
  10. 10.What is the complement of 29° (in degrees)?
  11. 11.What is the complement of 65° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 81° (in degrees)?
  14. 14.What is the supplement of 45° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 146° (in degrees)?
  17. 17.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  19. 19.What is the supplement of 161° (in degrees)?
  20. 20.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 42° (in degrees)?
  24. 24.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the supplement of 37° (in degrees)?
  27. 27.What is the complement of 31° (in degrees)?
  28. 28.What is the supplement of 71° (in degrees)?
  29. 29.What is the supplement of 80° (in degrees)?
  30. 30.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the complement of 59° (in degrees)?
  32. 32.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the supplement of 175° (in degrees)?
  34. 34.What is the supplement of 173° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Are 29° and 154° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.What is the supplement of 115° (in degrees)?
  38. 38.Are 61° and 29° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the supplement of 39° (in degrees)?
  40. 40.What is the supplement of 97° (in degrees)?

Answer key

  1. 66
  2. 148
  3. 160
  4. 62
  5. 126
  6. 57
  7. 98
  8. Complementary
  9. 46
  10. 61
  11. 25
  12. 98
  13. 9
  14. 135
  15. 23
  16. 34
  17. 61
  18. 117
  19. 19
  20. 99
  21. 126
  22. 53
  23. 48
  24. 149
  25. Complementary
  26. 143
  27. 59
  28. 109
  29. 100
  30. Complementary
  31. 31
  32. Complementary
  33. 5
  34. 7
  35. 113
  36. Neither
  37. 65
  38. Complementary
  39. 141
  40. 83

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