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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 210 · 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 angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 38° (in degrees)?
  4. 4.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 62° (in degrees)?
  6. 6.What is the complement of 45° (in degrees)?
  7. 7.Are 38° and 167° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (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.What is the complement of 82° (in degrees)?
  13. 13.What is the complement of 50° (in degrees)?
  14. 14.What is the complement of 40° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 41° (in degrees)?
  19. 19.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 42° and 138° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 76° (in degrees)?
  23. 23.Are 44° and 136° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Are 37° and 143° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 60° and 120° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  29. 29.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 142° (in degrees)?
  31. 31.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 139° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 83° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?

Answer key

  1. 100
  2. 107
  3. 52
  4. 98
  5. 118
  6. 45
  7. Neither
  8. 128
  9. 104
  10. 92
  11. 34
  12. 8
  13. 40
  14. 50
  15. 143
  16. 37
  17. 48
  18. 49
  19. 147
  20. Supplementary
  21. 89
  22. 14
  23. Supplementary
  24. Supplementary
  25. 60
  26. Supplementary
  27. 76
  28. 88
  29. 78
  30. 38
  31. 145
  32. 105
  33. 30
  34. 101
  35. 41
  36. 83
  37. 69
  38. 97
  39. 95
  40. 106

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