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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 519 · 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 32° 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 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the supplement of 122° (in degrees)?
  6. 6.What is the supplement of 146° (in degrees)?
  7. 7.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  10. 10.What is the supplement of 17° (in degrees)?
  11. 11.Are 23° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 62° (in degrees)?
  15. 15.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the complement of 26° (in degrees)?
  18. 18.What is the supplement of 35° (in degrees)?
  19. 19.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 73° and 107° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two angles are complementary. One is 56° 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 84°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 49° and 163° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.What is the supplement of 10° (in degrees)?
  25. 25.Are 73° and 104° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 48° (in degrees)?
  28. 28.What is the complement of 44° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  31. 31.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)?
  32. 32.Are 63° and 27° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the complement of 13° (in degrees)?
  34. 34.What is the supplement of 15° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 72° and 155° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 25° (in degrees)?
  40. 40.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 61
  2. 75
  3. Complementary
  4. 54
  5. 58
  6. 34
  7. 93
  8. 130
  9. 128
  10. 163
  11. Neither
  12. 119
  13. 147
  14. 28
  15. 69
  16. Complementary
  17. 64
  18. 145
  19. 116
  20. Supplementary
  21. 73
  22. 84
  23. Neither
  24. 170
  25. Neither
  26. 86
  27. 132
  28. 46
  29. 83
  30. 52
  31. 152
  32. Complementary
  33. 77
  34. 165
  35. 32
  36. 60
  37. Neither
  38. 45
  39. 65
  40. 143

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