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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 161 · 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.Are 19° and 71° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  7. 7.Are 54° and 93° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.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)?
  9. 9.What is the supplement of 25° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 59° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 64° and 18° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.What is the complement of 34° (in degrees)?
  16. 16.What is the complement of 14° (in degrees)?
  17. 17.What is the complement of 9° (in degrees)?
  18. 18.Are 14° and 166° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 28° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 49° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 98°. What is its corresponding angle (in degrees)?
  27. 27.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)?
  28. 28.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 9° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 141° (in degrees)?
  35. 35.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 158° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?

Answer key

  1. Complementary
  2. 122
  3. 55
  4. 111
  5. 76
  6. 148
  7. Neither
  8. 32
  9. 155
  10. 126
  11. 95
  12. 31
  13. 132
  14. Neither
  15. 56
  16. 76
  17. 81
  18. Supplementary
  19. 67
  20. 62
  21. 71
  22. 101
  23. 41
  24. 124
  25. 142
  26. 98
  27. 69
  28. 67
  29. 171
  30. 84
  31. 142
  32. 63
  33. 23
  34. 39
  35. Supplementary
  36. 68
  37. 135
  38. 55
  39. 22
  40. 33

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