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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 932 · 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 20°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 129° (in degrees)?
  4. 4.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 5° (in degrees)?
  6. 6.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 61° (in degrees)?
  9. 9.What is the complement of 58° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  11. 11.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 122° (in degrees)?
  14. 14.What is the complement of 75° (in degrees)?
  15. 15.What is the supplement of 134° (in degrees)?
  16. 16.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 108° (in degrees)?
  19. 19.Are 64° and 26° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the complement of 24° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the supplement of 19° (in degrees)?
  23. 23.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 85° (in degrees)?
  26. 26.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 101°. 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 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 29° and 35° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 51° and 129° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its alternate interior angle (in degrees)?
  38. 38.Are 66° and 114° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the supplement of 5° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?

Answer key

  1. 20
  2. 121
  3. 51
  4. 158
  5. 85
  6. Complementary
  7. 70
  8. 29
  9. 32
  10. 130
  11. Complementary
  12. 149
  13. 58
  14. 15
  15. 46
  16. 144
  17. 71
  18. 72
  19. Complementary
  20. 66
  21. 119
  22. 161
  23. 103
  24. 150
  25. 95
  26. 59
  27. 82
  28. 79
  29. 106
  30. Neither
  31. 133
  32. Supplementary
  33. 105
  34. 36
  35. Supplementary
  36. 74
  37. 81
  38. Supplementary
  39. 175
  40. 45

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