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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 816 · 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 parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 32° (in degrees)?
  3. 3.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 24° (in degrees)?
  5. 5.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)?
  6. 6.What is the complement of 8° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Are 20° and 16° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.What is the supplement of 53° (in degrees)?
  12. 12.What is the supplement of 68° (in degrees)?
  13. 13.What is the complement of 80° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  15. 15.Are 35° and 145° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.What is the complement of 42° (in degrees)?
  17. 17.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  29. 29.What is the complement of 12° (in degrees)?
  30. 30.What is the supplement of 65° (in degrees)?
  31. 31.What is the complement of 9° (in degrees)?
  32. 32.Are 50° and 167° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the complement of 5° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  36. 36.Are 72° and 134° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the supplement of 110° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 41° (in degrees)?

Answer key

  1. 146
  2. 148
  3. 71
  4. 66
  5. 156
  6. 82
  7. 121
  8. 91
  9. Complementary
  10. Neither
  11. 127
  12. 112
  13. 10
  14. 96
  15. Supplementary
  16. 48
  17. Complementary
  18. 63
  19. 133
  20. 36
  21. 113
  22. 29
  23. 53
  24. 79
  25. 133
  26. 56
  27. 120
  28. 149
  29. 78
  30. 115
  31. 81
  32. Neither
  33. 85
  34. 109
  35. 128
  36. Neither
  37. 136
  38. 70
  39. 123
  40. 139

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