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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 238 · 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 complement of 26° (in degrees)?
  2. 2.What is the supplement of 163° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the supplement of 162° (in degrees)?
  6. 6.What is the supplement of 101° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 70° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 33° (in degrees)?
  11. 11.What is the supplement of 59° (in degrees)?
  12. 12.What is the complement of 48° (in degrees)?
  13. 13.Are 66° and 136° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.What is the complement of 76° (in degrees)?
  15. 15.Two angles are supplementary. One is 106° 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 20°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 32° (in degrees)?
  18. 18.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 102° (in degrees)?
  20. 20.What is the complement of 45° (in degrees)?
  21. 21.Are 50° and 56° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 36° and 144° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 166° (in degrees)?
  26. 26.What is the complement of 52° (in degrees)?
  27. 27.What is the complement of 25° (in degrees)?
  28. 28.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the complement of 74° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 46° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  33. 33.Are 46° and 134° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 45° and 111° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 108° (in degrees)?
  39. 39.Are 28° and 31° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 64
  2. 17
  3. 147
  4. 90
  5. 18
  6. 79
  7. 103
  8. Neither
  9. 150
  10. 57
  11. 121
  12. 42
  13. Neither
  14. 14
  15. 143
  16. 20
  17. 58
  18. 105
  19. 78
  20. 45
  21. Neither
  22. 51
  23. Supplementary
  24. 30
  25. 14
  26. 38
  27. 65
  28. Complementary
  29. 16
  30. 72
  31. 44
  32. 147
  33. Supplementary
  34. 82
  35. Neither
  36. Complementary
  37. 148
  38. 72
  39. Neither
  40. 100

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