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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 599 · 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 complement of 64° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 81° (in degrees)?
  5. 5.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 82° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 69° and 111° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 115°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 19° and 128° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  20. 20.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)?
  21. 21.Are 68° and 22° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the supplement of 54° (in degrees)?
  24. 24.What is the supplement of 65° (in degrees)?
  25. 25.What is the supplement of 138° (in degrees)?
  26. 26.What is the complement of 15° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  29. 29.Are 45° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Are 18° and 141° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?
  38. 38.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  40. 40.What is the complement of 17° (in degrees)?

Answer key

  1. 26
  2. 160
  3. 100
  4. 99
  5. 110
  6. 56
  7. 143
  8. 8
  9. 150
  10. Supplementary
  11. 65
  12. 93
  13. 50
  14. Complementary
  15. 41
  16. 122
  17. Neither
  18. 145
  19. 158
  20. 66
  21. Complementary
  22. 153
  23. 126
  24. 115
  25. 42
  26. 75
  27. 101
  28. 73
  29. Complementary
  30. Neither
  31. 118
  32. 72
  33. 67
  34. Complementary
  35. Supplementary
  36. 159
  37. 102
  38. Complementary
  39. 126
  40. 73

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