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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 504 · 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.

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  1. 1.Are 14° and 166° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the complement of 54° (in degrees)?
  6. 6.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.What is the complement of 62° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 47° and 69° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.What is the complement of 63° (in degrees)?
  11. 11.What is the complement of 67° (in degrees)?
  12. 12.What is the supplement of 22° (in degrees)?
  13. 13.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the supplement of 88° (in degrees)?
  16. 16.What is the complement of 32° (in degrees)?
  17. 17.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 56° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 142° (in degrees)?
  23. 23.What is the complement of 26° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  25. 25.What is the supplement of 165° (in degrees)?
  26. 26.What is the supplement of 144° (in degrees)?
  27. 27.Are 52° and 102° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.What is the supplement of 80° (in degrees)?
  29. 29.What is the supplement of 78° (in degrees)?
  30. 30.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the complement of 15° (in degrees)?
  32. 32.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.What is the complement of 83° (in degrees)?
  34. 34.Are 74° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 113° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Supplementary
  2. 95
  3. 69
  4. 39
  5. 36
  6. Supplementary
  7. 28
  8. 47
  9. Neither
  10. 27
  11. 23
  12. 158
  13. Complementary
  14. 145
  15. 92
  16. 58
  17. 79
  18. 55
  19. 34
  20. 105
  21. 108
  22. 38
  23. 64
  24. 100
  25. 15
  26. 36
  27. Neither
  28. 100
  29. 102
  30. Complementary
  31. 75
  32. Complementary
  33. 7
  34. Neither
  35. 73
  36. Complementary
  37. 65
  38. 67
  39. 146
  40. 62

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