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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 955 · 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 straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 13° (in degrees)?
  3. 3.What is the complement of 71° (in degrees)?
  4. 4.What is the complement of 20° (in degrees)?
  5. 5.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 5° (in degrees)?
  7. 7.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)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Are 20° and 70° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.What is the complement of 84° (in degrees)?
  11. 11.What is the supplement of 79° (in degrees)?
  12. 12.What is the complement of 48° (in degrees)?
  13. 13.Are 77° and 13° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Are 70° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 61° (in degrees)?
  17. 17.What is the supplement of 146° (in degrees)?
  18. 18.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 81° (in degrees)?
  20. 20.What is the supplement of 70° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Are 46° and 134° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 75° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 63° (in degrees)?
  32. 32.What is the supplement of 20° (in degrees)?
  33. 33.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  35. 35.Are 47° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the complement of 24° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the complement of 12° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 61
  2. 77
  3. 19
  4. 70
  5. 52
  6. 85
  7. 119
  8. 118
  9. Complementary
  10. 6
  11. 101
  12. 42
  13. Complementary
  14. Complementary
  15. 137
  16. 29
  17. 34
  18. 66
  19. 9
  20. 110
  21. 43
  22. 138
  23. Supplementary
  24. Supplementary
  25. 70
  26. 77
  27. 138
  28. 15
  29. 117
  30. 131
  31. 27
  32. 160
  33. Supplementary
  34. 38
  35. Neither
  36. 66
  37. 43
  38. 78
  39. 150
  40. 57

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