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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 176 · 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 172° (in degrees)?
  2. 2.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 47° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 20° (in degrees)?
  6. 6.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 69° (in degrees)?
  8. 8.What is the supplement of 14° (in degrees)?
  9. 9.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  16. 16.Are 36° and 144° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 9° (in degrees)?
  23. 23.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the supplement of 85° (in degrees)?
  27. 27.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  28. 28.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)?
  29. 29.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 40° (in degrees)?
  31. 31.What is the supplement of 141° (in degrees)?
  32. 32.What is the supplement of 58° (in degrees)?
  33. 33.What is the complement of 38° (in degrees)?
  34. 34.Are 67° and 113° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.What is the supplement of 129° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.What is the complement of 15° (in degrees)?
  38. 38.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the complement of 73° (in degrees)?
  40. 40.What is the supplement of 169° (in degrees)?

Answer key

  1. 8
  2. 100
  3. 133
  4. 67
  5. 160
  6. 57
  7. 21
  8. 166
  9. Supplementary
  10. Complementary
  11. 58
  12. 85
  13. 146
  14. 142
  15. 82
  16. Supplementary
  17. Complementary
  18. 87
  19. 56
  20. 96
  21. 68
  22. 81
  23. Complementary
  24. 60
  25. Complementary
  26. 95
  27. 136
  28. 61
  29. 74
  30. 50
  31. 39
  32. 122
  33. 52
  34. Supplementary
  35. 51
  36. 42
  37. 75
  38. Supplementary
  39. 17
  40. 11

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