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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 317 · 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 28° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the supplement of 166° (in degrees)?
  4. 4.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 11° (in degrees)?
  7. 7.What is the complement of 59° (in degrees)?
  8. 8.What is the complement of 21° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 34° (in degrees)?
  12. 12.What is the complement of 75° (in degrees)?
  13. 13.Are 77° and 126° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the complement of 16° (in degrees)?
  15. 15.What is the complement of 64° (in degrees)?
  16. 16.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 94° (in degrees)?
  18. 18.Are 10° and 170° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 55° (in degrees)?
  25. 25.What is the complement of 70° (in degrees)?
  26. 26.What is the complement of 42° (in degrees)?
  27. 27.What is the complement of 40° (in degrees)?
  28. 28.What is the complement of 17° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 76° and 14° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 26° (in degrees)?
  35. 35.What is the complement of 20° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 152
  2. 91
  3. 14
  4. 57
  5. 144
  6. 169
  7. 31
  8. 69
  9. 154
  10. 127
  11. 56
  12. 15
  13. Neither
  14. 74
  15. 26
  16. 71
  17. 86
  18. Supplementary
  19. 96
  20. 47
  21. 96
  22. 37
  23. 88
  24. 35
  25. 20
  26. 48
  27. 50
  28. 73
  29. 124
  30. Complementary
  31. 62
  32. 151
  33. 92
  34. 154
  35. 70
  36. 152
  37. 60
  38. Complementary
  39. 98
  40. 48

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