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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 664 · 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 18° (in degrees)?
  2. 2.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 78° and 102° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Are 22° and 43° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.What is the supplement of 11° (in degrees)?
  6. 6.What is the supplement of 39° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 122° (in degrees)?
  10. 10.What is the supplement of 93° (in degrees)?
  11. 11.What is the supplement of 123° (in degrees)?
  12. 12.What is the supplement of 129° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.What is the supplement of 38° (in degrees)?
  16. 16.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 68° and 14° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.What is the complement of 52° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 22° (in degrees)?
  21. 21.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the supplement of 30° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  26. 26.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)?
  27. 27.What is the complement of 75° (in degrees)?
  28. 28.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 61° (in degrees)?
  30. 30.What is the complement of 12° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 171° (in degrees)?
  36. 36.What is the complement of 72° (in degrees)?
  37. 37.Are 45° and 135° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Are 34° and 56° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 162
  2. 117
  3. Supplementary
  4. Neither
  5. 169
  6. 141
  7. 50
  8. 97
  9. 58
  10. 87
  11. 57
  12. 51
  13. 148
  14. Complementary
  15. 142
  16. 96
  17. Neither
  18. 38
  19. 57
  20. 68
  21. Complementary
  22. 150
  23. 31
  24. 105
  25. 146
  26. 36
  27. 15
  28. 94
  29. 29
  30. 78
  31. 109
  32. 37
  33. 59
  34. 54
  35. 9
  36. 18
  37. Supplementary
  38. Complementary
  39. 110
  40. 152

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