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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 880 · 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 30°. What is its alternate interior angle (in degrees)?
  2. 2.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)?
  3. 3.Are 16° and 161° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its alternate interior angle (in degrees)?
  5. 5.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Are 61° and 35° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the supplement of 64° (in degrees)?
  9. 9.What is the complement of 45° (in degrees)?
  10. 10.Are 71° and 133° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  14. 14.What is the complement of 40° (in degrees)?
  15. 15.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Are 77° and 103° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.What is the supplement of 154° (in degrees)?
  20. 20.Are 48° and 42° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 57° (in degrees)?
  23. 23.What is the supplement of 63° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the complement of 61° (in degrees)?
  26. 26.What is the supplement of 175° (in degrees)?
  27. 27.What is the supplement of 115° (in degrees)?
  28. 28.What is the complement of 46° (in degrees)?
  29. 29.What is the supplement of 53° (in degrees)?
  30. 30.What is the supplement of 47° (in degrees)?
  31. 31.What is the supplement of 160° (in degrees)?
  32. 32.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 124° (in degrees)?
  35. 35.What is the complement of 14° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 144°. 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 67°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 72° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Are 42° and 10° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Are 44° and 39° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 30
  2. 83
  3. Neither
  4. 141
  5. Complementary
  6. 23
  7. Neither
  8. 116
  9. 45
  10. Neither
  11. 100
  12. 153
  13. 61
  14. 50
  15. 106
  16. 109
  17. Complementary
  18. Supplementary
  19. 26
  20. Complementary
  21. 125
  22. 123
  23. 117
  24. 80
  25. 29
  26. 5
  27. 65
  28. 44
  29. 127
  30. 133
  31. 20
  32. 67
  33. 63
  34. 56
  35. 76
  36. 36
  37. 67
  38. Neither
  39. Neither
  40. Neither

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