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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 120 · 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 31° (in degrees)?
  2. 2.What is the supplement of 117° (in degrees)?
  3. 3.What is the supplement of 133° (in degrees)?
  4. 4.What is the complement of 82° (in degrees)?
  5. 5.Are 79° and 101° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the complement of 14° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 32° (in degrees)?
  9. 9.Are 78° and 102° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.What is the complement of 17° (in degrees)?
  12. 12.What is the supplement of 7° (in degrees)?
  13. 13.Are 51° and 63° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 5° (in degrees)?
  19. 19.What is the complement of 62° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 71° (in degrees)?
  22. 22.What is the supplement of 23° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 48° and 132° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.What is the complement of 46° (in degrees)?
  27. 27.Are 45° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  30. 30.Are 25° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.What is the supplement of 33° (in degrees)?
  33. 33.What is the complement of 35° (in degrees)?
  34. 34.What is the complement of 65° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.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)?
  37. 37.What is the complement of 74° (in degrees)?
  38. 38.What is the supplement of 36° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 59
  2. 63
  3. 47
  4. 8
  5. Supplementary
  6. 76
  7. 106
  8. 58
  9. Supplementary
  10. 108
  11. 73
  12. 173
  13. Neither
  14. Complementary
  15. 151
  16. 33
  17. 33
  18. 175
  19. 28
  20. 50
  21. 19
  22. 157
  23. 156
  24. 135
  25. Supplementary
  26. 44
  27. Neither
  28. 133
  29. 139
  30. Supplementary
  31. Complementary
  32. 147
  33. 55
  34. 25
  35. 56
  36. 119
  37. 16
  38. 144
  39. 34
  40. 70

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