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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 618 · 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.Are 10° and 42° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 27° (in degrees)?
  4. 4.What is the supplement of 116° (in degrees)?
  5. 5.What is the complement of 12° (in degrees)?
  6. 6.What is the complement of 8° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the supplement of 89° (in degrees)?
  9. 9.What is the supplement of 45° (in degrees)?
  10. 10.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 74° (in degrees)?
  12. 12.Are 75° and 29° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the complement of 75° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the supplement of 131° (in degrees)?
  24. 24.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 79° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 50°. 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 angle is 71°. What is its corresponding angle (in degrees)?
  29. 29.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  31. 31.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 71° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 17° (in degrees)?
  36. 36.What is the supplement of 138° (in degrees)?
  37. 37.What is the complement of 14° (in degrees)?
  38. 38.Are 30° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 146° (in degrees)?

Answer key

  1. Neither
  2. 130
  3. 153
  4. 64
  5. 78
  6. 82
  7. 32
  8. 91
  9. 135
  10. 111
  11. 106
  12. Neither
  13. 124
  14. 77
  15. 62
  16. Complementary
  17. 109
  18. 42
  19. 46
  20. 140
  21. 15
  22. 136
  23. 49
  24. 153
  25. 115
  26. 11
  27. 130
  28. 71
  29. Complementary
  30. 33
  31. 47
  32. 33
  33. 109
  34. 108
  35. 73
  36. 42
  37. 76
  38. Neither
  39. 118
  40. 34

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