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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 19 · 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.What is the supplement of 155° (in degrees)?
  2. 2.What is the complement of 55° (in degrees)?
  3. 3.What is the supplement of 91° (in degrees)?
  4. 4.Are 72° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.What is the complement of 83° (in degrees)?
  6. 6.What is the supplement of 69° (in degrees)?
  7. 7.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  13. 13.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its alternate interior angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  18. 18.What is the supplement of 22° (in degrees)?
  19. 19.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 57° (in degrees)?
  21. 21.What is the supplement of 136° (in degrees)?
  22. 22.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  24. 24.Are 14° and 76° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.What is the supplement of 43° (in degrees)?
  26. 26.What is the complement of 72° (in degrees)?
  27. 27.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 27° (in degrees)?
  29. 29.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  32. 32.What is the supplement of 9° (in degrees)?
  33. 33.What is the supplement of 84° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.What is the complement of 29° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 50° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the supplement of 160° (in degrees)?

Answer key

  1. 25
  2. 35
  3. 89
  4. Neither
  5. 7
  6. 111
  7. 146
  8. 138
  9. 42
  10. 42
  11. Supplementary
  12. Complementary
  13. 72
  14. 81
  15. 109
  16. 71
  17. 47
  18. 158
  19. 100
  20. 33
  21. 44
  22. 135
  23. 67
  24. Complementary
  25. 137
  26. 18
  27. 46
  28. 153
  29. 66
  30. 72
  31. 73
  32. 171
  33. 96
  34. 77
  35. Complementary
  36. 61
  37. 64
  38. 40
  39. 139
  40. 20

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