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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 636 · 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 154°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 62° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 24° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  10. 10.What is the complement of 19° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 72° and 14° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Are 29° and 61° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 26° (in degrees)?
  20. 20.What is the complement of 12° (in degrees)?
  21. 21.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 96° (in degrees)?
  23. 23.Two angles are complementary. One is 68° 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 80°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 17° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 36° (in degrees)?
  29. 29.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 161° (in degrees)?
  31. 31.What is the complement of 27° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the complement of 44° (in degrees)?
  35. 35.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  37. 37.What is the supplement of 142° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 13° (in degrees)?
  40. 40.What is the supplement of 149° (in degrees)?

Answer key

  1. 154
  2. 75
  3. 118
  4. 81
  5. 149
  6. 69
  7. 122
  8. 66
  9. 144
  10. 71
  11. 56
  12. 53
  13. Neither
  14. 61
  15. 103
  16. Complementary
  17. Supplementary
  18. 48
  19. 64
  20. 78
  21. 51
  22. 84
  23. 79
  24. 100
  25. 103
  26. 73
  27. 144
  28. 54
  29. 108
  30. 19
  31. 63
  32. 51
  33. 32
  34. 46
  35. Complementary
  36. 84
  37. 38
  38. 127
  39. 77
  40. 31

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