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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 281 · 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 angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 26° 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 110°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the supplement of 67° (in degrees)?
  7. 7.What is the supplement of 50° (in degrees)?
  8. 8.What is the complement of 41° (in degrees)?
  9. 9.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 150° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 92° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 75°. 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 supplement of 147° (in degrees)?
  22. 22.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 60° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 98° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the supplement of 99° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the supplement of 56° (in degrees)?
  31. 31.What is the complement of 52° (in degrees)?
  32. 32.Two angles are supplementary. One is 40° 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 53°. What is the angle next to it on the same line (in degrees)?
  34. 34.Are 37° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Are 70° and 103° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.What is the supplement of 52° (in degrees)?
  39. 39.What is the supplement of 136° (in degrees)?
  40. 40.What is the complement of 20° (in degrees)?

Answer key

  1. 46
  2. 103
  3. 110
  4. 160
  5. 47
  6. 113
  7. 130
  8. 49
  9. 58
  10. 68
  11. 124
  12. 122
  13. 129
  14. 30
  15. 97
  16. 93
  17. 89
  18. 88
  19. 75
  20. 79
  21. 33
  22. Complementary
  23. 149
  24. 30
  25. 86
  26. 82
  27. 52
  28. 81
  29. 37
  30. 124
  31. 38
  32. 110
  33. 127
  34. Neither
  35. Complementary
  36. Complementary
  37. Neither
  38. 128
  39. 44
  40. 70

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