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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 651 · 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 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 68° (in degrees)?
  4. 4.What is the supplement of 74° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the supplement of 29° (in degrees)?
  9. 9.What is the complement of 36° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  11. 11.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 30° (in degrees)?
  14. 14.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 80° (in degrees)?
  16. 16.What is the supplement of 45° (in degrees)?
  17. 17.What is the supplement of 17° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 48° (in degrees)?
  22. 22.What is the complement of 12° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  24. 24.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 66° (in degrees)?
  26. 26.What is the supplement of 53° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  28. 28.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 23° (in degrees)?
  31. 31.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Are 21° and 159° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 24° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
  37. 37.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the supplement of 158° (in degrees)?
  40. 40.Are 36° and 157° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 139
  2. 65
  3. 22
  4. 106
  5. 110
  6. 71
  7. 120
  8. 151
  9. 54
  10. 73
  11. Complementary
  12. 26
  13. 60
  14. 105
  15. 100
  16. 135
  17. 163
  18. 117
  19. 88
  20. 34
  21. 42
  22. 78
  23. 131
  24. 56
  25. 24
  26. 127
  27. 135
  28. 140
  29. 123
  30. 67
  31. Complementary
  32. Supplementary
  33. 143
  34. 108
  35. 66
  36. 83
  37. 101
  38. 95
  39. 22
  40. Neither

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