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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 741 · 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 19° (in degrees)?
  2. 2.What is the complement of 29° (in degrees)?
  3. 3.Are 59° and 31° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Are 19° and 161° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the supplement of 38° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  7. 7.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 159° (in degrees)?
  9. 9.What is the supplement of 101° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 38° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 102°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 171° (in degrees)?
  15. 15.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 60° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  20. 20.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)?
  21. 21.What is the complement of 23° (in degrees)?
  22. 22.Are 33° and 149° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.What is the supplement of 130° (in degrees)?
  24. 24.What is the supplement of 55° (in degrees)?
  25. 25.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 18° (in degrees)?
  28. 28.Are 45° and 135° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 48° (in degrees)?
  31. 31.What is the supplement of 106° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 78° (in degrees)?
  34. 34.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are supplementary. One is 128° 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 70°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.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)?
  40. 40.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 71
  2. 61
  3. Complementary
  4. Supplementary
  5. 142
  6. 145
  7. 57
  8. 21
  9. 79
  10. 61
  11. 52
  12. 81
  13. 102
  14. 9
  15. 77
  16. 62
  17. 66
  18. 120
  19. 136
  20. 73
  21. 67
  22. Neither
  23. 50
  24. 125
  25. Supplementary
  26. 157
  27. 72
  28. Supplementary
  29. 51
  30. 132
  31. 74
  32. 129
  33. 12
  34. 54
  35. 154
  36. 70
  37. 94
  38. 129
  39. 85
  40. Complementary

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