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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 848 · 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 88°. What is its corresponding angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 64° (in degrees)?
  5. 5.What is the complement of 68° (in degrees)?
  6. 6.Are 36° and 144° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the complement of 62° (in degrees)?
  8. 8.What is the supplement of 56° (in degrees)?
  9. 9.What is the complement of 9° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 19° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 94° (in degrees)?
  16. 16.What is the complement of 33° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the supplement of 151° (in degrees)?
  19. 19.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 48° (in degrees)?
  21. 21.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are supplementary. 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 interior angle is 35°. What is its alternate interior angle (in degrees)?
  25. 25.Are 23° and 157° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 168° (in degrees)?
  28. 28.Are 49° and 76° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  32. 32.What is the complement of 47° (in degrees)?
  33. 33.Are 24° and 84° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Are 72° and 163° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.What is the complement of 84° (in degrees)?
  36. 36.What is the supplement of 153° (in degrees)?
  37. 37.What is the complement of 8° (in degrees)?
  38. 38.What is the complement of 75° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the complement of 79° (in degrees)?

Answer key

  1. 88
  2. 144
  3. 100
  4. 26
  5. 22
  6. Supplementary
  7. 28
  8. 124
  9. 81
  10. 40
  11. 34
  12. 68
  13. 71
  14. 113
  15. 86
  16. 57
  17. 148
  18. 29
  19. 149
  20. 42
  21. 67
  22. 33
  23. 98
  24. 35
  25. Supplementary
  26. 157
  27. 12
  28. Neither
  29. 39
  30. 38
  31. 105
  32. 43
  33. Neither
  34. Neither
  35. 6
  36. 27
  37. 82
  38. 15
  39. 115
  40. 11

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