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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 542 · 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 parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 47° (in degrees)?
  3. 3.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 29° (in degrees)?
  5. 5.What is the supplement of 115° (in degrees)?
  6. 6.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 104° (in degrees)?
  9. 9.What is the supplement of 129° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 48° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.What is the complement of 27° (in degrees)?
  15. 15.Are 59° and 31° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.What is the complement of 23° (in degrees)?
  17. 17.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 28° and 62° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Are 70° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.What is the supplement of 50° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 15° (in degrees)?
  25. 25.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 24° (in degrees)?
  27. 27.What is the supplement of 117° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the complement of 6° (in degrees)?
  31. 31.What is the supplement of 164° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the complement of 47° (in degrees)?
  34. 34.Are 42° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  37. 37.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 89
  2. 133
  3. 55
  4. 151
  5. 65
  6. 143
  7. 136
  8. 76
  9. 51
  10. 100
  11. 34
  12. 99
  13. Neither
  14. 63
  15. Complementary
  16. 67
  17. 53
  18. 76
  19. 103
  20. Complementary
  21. Complementary
  22. 130
  23. 133
  24. 75
  25. 46
  26. 156
  27. 63
  28. 115
  29. 73
  30. 84
  31. 16
  32. 45
  33. 43
  34. Neither
  35. 110
  36. 98
  37. 109
  38. 80
  39. Supplementary
  40. Complementary

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