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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 67 · 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 angle is 134°. What is its corresponding angle (in degrees)?
  2. 2.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 57° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  6. 6.Two angles are supplementary. One is 62° 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 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  10. 10.What is the supplement of 126° (in degrees)?
  11. 11.What is the complement of 11° (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.What is the complement of 82° (in degrees)?
  14. 14.What is the supplement of 52° (in degrees)?
  15. 15.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)?
  16. 16.Are 49° and 43° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the complement of 83° (in degrees)?
  18. 18.What is the supplement of 103° (in degrees)?
  19. 19.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)?
  20. 20.What is the supplement of 74° (in degrees)?
  21. 21.What is the supplement of 61° (in degrees)?
  22. 22.What is the complement of 45° (in degrees)?
  23. 23.What is the supplement of 41° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 39° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  34. 34.Are 61° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 71° (in degrees)?
  37. 37.Are 34° and 56° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the complement of 49° (in degrees)?
  40. 40.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 134
  2. 53
  3. 139
  4. 123
  5. 118
  6. 121
  7. 137
  8. 48
  9. 34
  10. 54
  11. 79
  12. 142
  13. 8
  14. 128
  15. 118
  16. Neither
  17. 7
  18. 77
  19. 76
  20. 106
  21. 119
  22. 45
  23. 139
  24. 122
  25. 51
  26. 115
  27. Supplementary
  28. 137
  29. 103
  30. 140
  31. 143
  32. 50
  33. 71
  34. Supplementary
  35. 57
  36. 19
  37. Complementary
  38. 138
  39. 41
  40. Supplementary

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