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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 93 · 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 supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 27° (in degrees)?
  3. 3.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  5. 5.Are 27° and 17° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 64° and 116° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 5° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 85°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 58° (in degrees)?
  12. 12.What is the supplement of 174° (in degrees)?
  13. 13.What is the supplement of 33° (in degrees)?
  14. 14.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.What is the supplement of 171° (in degrees)?
  17. 17.What is the complement of 36° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 42° (in degrees)?
  20. 20.What is the complement of 35° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 82°. What is its corresponding angle (in degrees)?
  22. 22.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 156° (in degrees)?
  24. 24.What is the supplement of 45° (in degrees)?
  25. 25.What is the supplement of 20° (in degrees)?
  26. 26.What is the complement of 34° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 61° (in degrees)?
  29. 29.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the supplement of 13° (in degrees)?
  32. 32.What is the complement of 20° (in degrees)?
  33. 33.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  35. 35.Are 74° and 10° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 25° and 155° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 73°. 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 69°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 147
  2. 63
  3. 113
  4. 110
  5. Neither
  6. Supplementary
  7. 175
  8. 56
  9. 95
  10. 67
  11. 32
  12. 6
  13. 147
  14. 68
  15. Complementary
  16. 9
  17. 54
  18. 101
  19. 48
  20. 55
  21. 82
  22. 76
  23. 24
  24. 135
  25. 160
  26. 56
  27. 142
  28. 29
  29. 59
  30. Supplementary
  31. 167
  32. 70
  33. Complementary
  34. 135
  35. Neither
  36. 79
  37. Supplementary
  38. Supplementary
  39. 107
  40. 69

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