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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 80 · 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 46° (in degrees)?
  2. 2.What is the complement of 66° (in degrees)?
  3. 3.Are 61° and 29° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.What is the complement of 63° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Are 41° and 49° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 73° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the supplement of 105° (in degrees)?
  12. 12.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 63° (in degrees)?
  14. 14.Are 57° and 123° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.What is the complement of 67° (in degrees)?
  16. 16.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.What is the supplement of 160° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the supplement of 166° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 85° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  25. 25.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)?
  26. 26.What is the complement of 24° (in degrees)?
  27. 27.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)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 37° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  31. 31.What is the complement of 6° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the supplement of 109° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 52° (in degrees)?
  39. 39.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 173° (in degrees)?

Answer key

  1. 134
  2. 24
  3. Complementary
  4. 27
  5. 101
  6. Complementary
  7. 77
  8. 32
  9. 107
  10. 51
  11. 75
  12. 61
  13. 117
  14. Supplementary
  15. 23
  16. Complementary
  17. 20
  18. 74
  19. 14
  20. 60
  21. 157
  22. 95
  23. 74
  24. 130
  25. 121
  26. 66
  27. 119
  28. 101
  29. 143
  30. 126
  31. 84
  32. 141
  33. 49
  34. 78
  35. 150
  36. 71
  37. 107
  38. 38
  39. Complementary
  40. 7

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