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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 221 · 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 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 20° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  5. 5.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 141° (in degrees)?
  9. 9.Are 73° and 107° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.What is the supplement of 77° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 52° (in degrees)?
  13. 13.What is the complement of 53° (in degrees)?
  14. 14.What is the complement of 43° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 47° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  18. 18.What is the complement of 78° (in degrees)?
  19. 19.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 111° (in degrees)?
  21. 21.What is the supplement of 110° (in degrees)?
  22. 22.Are 29° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.What is the complement of 38° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  26. 26.What is the supplement of 10° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 11° (in degrees)?
  29. 29.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 105° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  32. 32.What is the complement of 68° (in degrees)?
  33. 33.What is the complement of 12° (in degrees)?
  34. 34.What is the complement of 14° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 59° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  40. 40.Are 35° and 145° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 44
  2. 160
  3. 122
  4. 49
  5. 99
  6. 127
  7. 46
  8. 39
  9. Supplementary
  10. 103
  11. 159
  12. 128
  13. 37
  14. 47
  15. 104
  16. 43
  17. 117
  18. 12
  19. 95
  20. 69
  21. 70
  22. Neither
  23. Supplementary
  24. 52
  25. 141
  26. 170
  27. 67
  28. 79
  29. Supplementary
  30. 75
  31. 116
  32. 22
  33. 78
  34. 76
  35. 57
  36. 136
  37. Neither
  38. Complementary
  39. 123
  40. Supplementary

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