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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 453 · 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 straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 32° (in degrees)?
  3. 3.What is the supplement of 130° (in degrees)?
  4. 4.What is the supplement of 6° (in degrees)?
  5. 5.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Are 32° and 58° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 55° and 34° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.What is the supplement of 117° (in degrees)?
  15. 15.What is the complement of 79° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  17. 17.What is the supplement of 164° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 102°. 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 61°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 77° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Are 29° and 151° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.What is the supplement of 60° (in degrees)?
  26. 26.What is the complement of 55° (in degrees)?
  27. 27.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  29. 29.What is the complement of 25° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are complementary. One is 68° 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 49°. What is its alternate interior angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 28° (in degrees)?
  37. 37.Two angles are complementary. One is 14° 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 66°. What is its alternate interior angle (in degrees)?
  39. 39.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 103
  2. 148
  3. 50
  4. 174
  5. 120
  6. 118
  7. 76
  8. Complementary
  9. Complementary
  10. 101
  11. 75
  12. 142
  13. Neither
  14. 63
  15. 11
  16. 123
  17. 16
  18. 78
  19. 61
  20. 79
  21. 13
  22. 73
  23. 50
  24. Supplementary
  25. 120
  26. 35
  27. 106
  28. 112
  29. 65
  30. 113
  31. 79
  32. 49
  33. 35
  34. 74
  35. 64
  36. 62
  37. 52
  38. 66
  39. Supplementary
  40. 67

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