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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 430 · 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 interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 58° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 33° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 48° and 95° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.What is the supplement of 48° (in degrees)?
  9. 9.What is the complement of 84° (in degrees)?
  10. 10.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  12. 12.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.What is the complement of 11° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 86° (in degrees)?
  16. 16.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.What is the complement of 46° (in degrees)?
  20. 20.Are 35° and 145° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 14° and 21° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  26. 26.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 74° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  33. 33.What is the complement of 50° (in degrees)?
  34. 34.What is the supplement of 107° (in degrees)?
  35. 35.What is the complement of 82° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 43° and 47° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.What is the supplement of 16° (in degrees)?

Answer key

  1. 98
  2. 121
  3. 32
  4. 134
  5. 57
  6. 153
  7. Neither
  8. 132
  9. 6
  10. Complementary
  11. 117
  12. Complementary
  13. 79
  14. 158
  15. 94
  16. 136
  17. 99
  18. Supplementary
  19. 44
  20. Supplementary
  21. 57
  22. 116
  23. Neither
  24. 65
  25. 56
  26. Complementary
  27. 108
  28. 16
  29. 44
  30. 71
  31. 62
  32. Complementary
  33. 40
  34. 73
  35. 8
  36. 118
  37. 57
  38. 51
  39. Complementary
  40. 164

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