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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 716 · 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.What is the complement of 9° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 26° (in degrees)?
  5. 5.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  9. 9.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 41° (in degrees)?
  11. 11.What is the complement of 40° (in degrees)?
  12. 12.What is the complement of 46° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  14. 14.Are 78° and 12° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.What is the supplement of 6° (in degrees)?
  16. 16.What is the complement of 83° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 14° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 21° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 42° (in degrees)?
  25. 25.What is the supplement of 129° (in degrees)?
  26. 26.What is the supplement of 46° (in degrees)?
  27. 27.Are 15° and 47° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 75° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the supplement of 45° (in degrees)?
  35. 35.What is the supplement of 169° (in degrees)?
  36. 36.What is the supplement of 23° (in degrees)?
  37. 37.What is the supplement of 12° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 37° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 81
  2. 93
  3. 147
  4. 64
  5. 52
  6. 149
  7. 115
  8. 147
  9. 75
  10. 49
  11. 50
  12. 44
  13. 98
  14. Complementary
  15. 174
  16. 7
  17. 20
  18. 110
  19. 76
  20. 42
  21. 69
  22. 41
  23. 54
  24. 138
  25. 51
  26. 134
  27. Neither
  28. 147
  29. 67
  30. 154
  31. 15
  32. 65
  33. 61
  34. 135
  35. 11
  36. 157
  37. 168
  38. 155
  39. 143
  40. 134

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