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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 346 · 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 complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 23° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 86° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 21° (in degrees)?
  9. 9.What is the supplement of 84° (in degrees)?
  10. 10.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 84° (in degrees)?
  13. 13.What is the supplement of 152° (in degrees)?
  14. 14.What is the supplement of 12° (in degrees)?
  15. 15.Are 54° and 22° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 47° and 108° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 35° (in degrees)?
  22. 22.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 37° and 143° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the supplement of 146° (in degrees)?
  27. 27.What is the supplement of 162° (in degrees)?
  28. 28.What is the complement of 63° (in degrees)?
  29. 29.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 27° and 116° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  39. 39.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)?
  40. 40.What is the supplement of 139° (in degrees)?

Answer key

  1. 47
  2. 67
  3. 38
  4. 94
  5. 53
  6. 56
  7. 159
  8. 159
  9. 96
  10. 50
  11. 126
  12. 6
  13. 28
  14. 168
  15. Neither
  16. 21
  17. 135
  18. Neither
  19. 61
  20. 51
  21. 145
  22. Supplementary
  23. Supplementary
  24. 54
  25. Supplementary
  26. 34
  27. 18
  28. 27
  29. Supplementary
  30. 79
  31. 55
  32. 47
  33. 108
  34. 34
  35. 96
  36. Neither
  37. 53
  38. 63
  39. 30
  40. 41

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