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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 132 · 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 supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 11° (in degrees)?
  3. 3.What is the supplement of 46° (in degrees)?
  4. 4.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.What is the complement of 14° (in degrees)?
  6. 6.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 21° (in degrees)?
  15. 15.What is the supplement of 109° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 53° and 37° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the complement of 56° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 61° (in degrees)?
  21. 21.What is the supplement of 106° (in degrees)?
  22. 22.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.What is the supplement of 144° (in degrees)?
  24. 24.What is the supplement of 12° (in degrees)?
  25. 25.What is the complement of 82° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 26° (in degrees)?
  28. 28.Are 66° and 139° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Are 36° and 31° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 150° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 15° and 133° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 66° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?

Answer key

  1. 155
  2. 79
  3. 134
  4. Complementary
  5. 76
  6. Supplementary
  7. 138
  8. 64
  9. 69
  10. Supplementary
  11. 48
  12. 55
  13. 40
  14. 69
  15. 71
  16. 30
  17. Complementary
  18. 34
  19. 106
  20. 119
  21. 74
  22. Complementary
  23. 36
  24. 168
  25. 8
  26. 34
  27. 64
  28. Neither
  29. Neither
  30. 49
  31. 30
  32. 74
  33. 100
  34. 88
  35. Neither
  36. 36
  37. 111
  38. 81
  39. 24
  40. 135

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