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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 94 · 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 72° (in degrees)?
  2. 2.What is the supplement of 33° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Are 26° and 154° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.Are 78° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the supplement of 75° (in degrees)?
  7. 7.What is the complement of 39° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 15° (in degrees)?
  10. 10.What is the supplement of 51° (in degrees)?
  11. 11.Are 68° and 112° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.What is the complement of 64° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 26° and 64° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the complement of 44° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  18. 18.What is the complement of 55° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the supplement of 80° (in degrees)?
  22. 22.Are 39° and 143° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Are 52° and 15° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 106° (in degrees)?
  26. 26.Are 49° and 131° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.What is the supplement of 159° (in degrees)?
  28. 28.What is the supplement of 165° (in degrees)?
  29. 29.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 13° (in degrees)?
  31. 31.What is the supplement of 158° (in degrees)?
  32. 32.What is the complement of 11° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  34. 34.What is the supplement of 99° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 18
  2. 147
  3. 33
  4. Supplementary
  5. Complementary
  6. 105
  7. 51
  8. 35
  9. 75
  10. 129
  11. Supplementary
  12. 26
  13. 77
  14. 131
  15. Complementary
  16. 46
  17. 37
  18. 35
  19. 112
  20. 122
  21. 100
  22. Neither
  23. 43
  24. Neither
  25. 74
  26. Supplementary
  27. 21
  28. 15
  29. 54
  30. 77
  31. 22
  32. 79
  33. 139
  34. 81
  35. 105
  36. 86
  37. 118
  38. 61
  39. 96
  40. Complementary

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