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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 484 · 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 54°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 153°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 141° (in degrees)?
  6. 6.Are 24° and 148° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two angles are complementary. One is 68° 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 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Are 27° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 16° (in degrees)?
  12. 12.What is the complement of 80° (in degrees)?
  13. 13.What is the supplement of 30° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 77° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 24° (in degrees)?
  21. 21.What is the supplement of 86° (in degrees)?
  22. 22.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Are 33° and 130° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 65° (in degrees)?
  28. 28.What is the complement of 54° (in degrees)?
  29. 29.What is the complement of 21° (in degrees)?
  30. 30.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Are 46° and 134° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the supplement of 25° (in degrees)?
  33. 33.What is the complement of 69° (in degrees)?
  34. 34.What is the supplement of 109° (in degrees)?
  35. 35.What is the complement of 62° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  37. 37.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the complement of 31° (in degrees)?
  40. 40.What is the complement of 75° (in degrees)?

Answer key

  1. 54
  2. 30
  3. 27
  4. 57
  5. 39
  6. Neither
  7. 79
  8. 99
  9. Neither
  10. 69
  11. 74
  12. 10
  13. 150
  14. 110
  15. 66
  16. 97
  17. 158
  18. 13
  19. 30
  20. 66
  21. 94
  22. 73
  23. 96
  24. Neither
  25. 123
  26. 56
  27. 25
  28. 36
  29. 69
  30. Complementary
  31. Supplementary
  32. 155
  33. 21
  34. 71
  35. 28
  36. 64
  37. Complementary
  38. 128
  39. 59
  40. 15

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