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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 800 · 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 91°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 54° (in degrees)?
  5. 5.Are 53° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two straight lines cross each other. One of the angles formed is 113°. 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 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Are 22° and 68° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.What is the supplement of 133° (in degrees)?
  10. 10.What is the complement of 76° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 27° and 159° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the complement of 22° (in degrees)?
  14. 14.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 16° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  21. 21.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)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 10° (in degrees)?
  28. 28.Are 65° and 108° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.What is the supplement of 116° (in degrees)?
  30. 30.What is the complement of 13° (in degrees)?
  31. 31.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)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  34. 34.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.What is the supplement of 28° (in degrees)?
  36. 36.What is the complement of 40° (in degrees)?
  37. 37.Two angles are supplementary. One is 76° 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 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the supplement of 155° (in degrees)?
  40. 40.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 91
  2. 60
  3. 81
  4. 36
  5. Neither
  6. 67
  7. 64
  8. Complementary
  9. 47
  10. 14
  11. 63
  12. Neither
  13. 68
  14. 67
  15. 75
  16. 34
  17. 74
  18. 152
  19. 76
  20. 50
  21. 115
  22. 110
  23. 54
  24. 107
  25. Complementary
  26. 91
  27. 170
  28. Neither
  29. 64
  30. 77
  31. 139
  32. 53
  33. 56
  34. Supplementary
  35. 152
  36. 50
  37. 128
  38. 79
  39. 25
  40. 140

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