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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 114 · 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 94°. What is the angle next to it on the same line (in degrees)?
  2. 2.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Are 10° and 170° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Are 44° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.What is the complement of 7° (in degrees)?
  6. 6.What is the supplement of 128° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  9. 9.What is the supplement of 55° (in degrees)?
  10. 10.What is the supplement of 22° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 49° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 42° and 138° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.Are 25° and 65° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 53° (in degrees)?
  23. 23.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 68° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 32° (in degrees)?
  29. 29.Are 51° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the complement of 13° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 74° (in degrees)?
  34. 34.Are 68° and 112° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 12° (in degrees)?
  37. 37.What is the complement of 46° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 86
  2. Supplementary
  3. Supplementary
  4. Neither
  5. 83
  6. 52
  7. 106
  8. 117
  9. 125
  10. 158
  11. 92
  12. 147
  13. 52
  14. 99
  15. 41
  16. 107
  17. 34
  18. 125
  19. Supplementary
  20. Complementary
  21. 77
  22. 37
  23. Complementary
  24. 40
  25. 147
  26. 22
  27. 135
  28. 58
  29. Complementary
  30. 77
  31. 129
  32. 122
  33. 16
  34. Supplementary
  35. 98
  36. 78
  37. 44
  38. 61
  39. 63
  40. 137

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