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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 260 · 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 143°. 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 angle is 148°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 75° and 15° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.What is the supplement of 31° (in degrees)?
  8. 8.Are 77° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 85° (in degrees)?
  11. 11.What is the supplement of 26° (in degrees)?
  12. 12.What is the complement of 17° (in degrees)?
  13. 13.What is the complement of 9° (in degrees)?
  14. 14.Are 38° and 95° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 89° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 6° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  23. 23.Are 16° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 24° (in degrees)?
  27. 27.What is the supplement of 81° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 60° (in degrees)?
  30. 30.What is the complement of 37° (in degrees)?
  31. 31.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  34. 34.What is the complement of 77° (in degrees)?
  35. 35.What is the complement of 29° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 37
  2. 148
  3. 59
  4. 72
  5. Complementary
  6. Supplementary
  7. 149
  8. Supplementary
  9. 22
  10. 5
  11. 154
  12. 73
  13. 81
  14. Neither
  15. 49
  16. 91
  17. 91
  18. 139
  19. 174
  20. 20
  21. 126
  22. 69
  23. Supplementary
  24. 78
  25. 144
  26. 66
  27. 99
  28. 25
  29. 30
  30. 53
  31. Complementary
  32. 151
  33. 120
  34. 13
  35. 61
  36. 41
  37. 95
  38. 48
  39. 98
  40. 117

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