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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 345 · 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 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.What is the supplement of 137° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 73° (in degrees)?
  8. 8.Are 58° and 32° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.What is the complement of 66° (in degrees)?
  10. 10.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  12. 12.Are 60° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 104° (in degrees)?
  16. 16.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 22° and 110° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Are 72° and 108° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  20. 20.What is the complement of 10° (in degrees)?
  21. 21.What is the supplement of 23° (in degrees)?
  22. 22.What is the supplement of 52° (in degrees)?
  23. 23.What is the supplement of 89° (in degrees)?
  24. 24.What is the complement of 31° (in degrees)?
  25. 25.What is the supplement of 37° (in degrees)?
  26. 26.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 60° (in degrees)?
  28. 28.What is the complement of 30° (in degrees)?
  29. 29.What is the supplement of 36° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 16° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 17° (in degrees)?
  37. 37.What is the supplement of 59° (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.Are 56° and 124° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?

Answer key

  1. 116
  2. 106
  3. 116
  4. Complementary
  5. 43
  6. 136
  7. 107
  8. Complementary
  9. 24
  10. 154
  11. 145
  12. Supplementary
  13. 34
  14. 108
  15. 76
  16. 67
  17. Neither
  18. Supplementary
  19. 56
  20. 80
  21. 157
  22. 128
  23. 91
  24. 59
  25. 143
  26. 75
  27. 30
  28. 60
  29. 144
  30. 66
  31. 127
  32. 130
  33. 56
  34. 164
  35. 87
  36. 73
  37. 121
  38. 55
  39. Supplementary
  40. 65

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