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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 293 · 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 92° (in degrees)?
  2. 2.What is the complement of 21° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 34° and 56° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 169° (in degrees)?
  8. 8.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  10. 10.What is the complement of 72° (in degrees)?
  11. 11.What is the supplement of 15° (in degrees)?
  12. 12.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 99° (in degrees)?
  14. 14.What is the supplement of 122° (in degrees)?
  15. 15.What is the complement of 11° (in degrees)?
  16. 16.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 59° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 71° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 49° (in degrees)?
  22. 22.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 175° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 18° (in degrees)?
  26. 26.What is the complement of 9° (in degrees)?
  27. 27.Are 25° and 155° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Are 74° and 66° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Are 25° and 12° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  31. 31.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Two straight lines cross each other. One of the angles formed is 95°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 114° (in degrees)?
  35. 35.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.What is the supplement of 71° (in degrees)?
  38. 38.Are 62° and 87° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Are 37° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.What is the supplement of 168° (in degrees)?

Answer key

  1. 88
  2. 69
  3. 44
  4. 46
  5. 149
  6. Complementary
  7. 11
  8. 58
  9. 62
  10. 18
  11. 165
  12. 141
  13. 81
  14. 58
  15. 79
  16. 140
  17. 121
  18. 148
  19. 19
  20. 28
  21. 41
  22. 101
  23. 5
  24. 70
  25. 162
  26. 81
  27. Supplementary
  28. Neither
  29. Neither
  30. 149
  31. Complementary
  32. 85
  33. 83
  34. 66
  35. 143
  36. 91
  37. 109
  38. Neither
  39. Neither
  40. 12

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