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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 220 · 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 5° (in degrees)?
  2. 2.What is the supplement of 65° (in degrees)?
  3. 3.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Are 36° and 144° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 41° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  11. 11.What is the supplement of 17° (in degrees)?
  12. 12.Are 42° and 48° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.What is the complement of 16° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 77° (in degrees)?
  16. 16.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Are 11° and 84° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Are 48° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.What is the complement of 30° (in degrees)?
  20. 20.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  22. 22.Are 24° and 66° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  26. 26.What is the complement of 37° (in degrees)?
  27. 27.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 81° (in degrees)?
  31. 31.Are 26° and 154° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.Are 20° and 160° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the complement of 18° (in degrees)?
  35. 35.Are 75° and 69° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the supplement of 28° (in degrees)?
  37. 37.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.What is the supplement of 135° (in degrees)?
  39. 39.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 85
  2. 115
  3. Complementary
  4. Supplementary
  5. 152
  6. 158
  7. 98
  8. 126
  9. 49
  10. 112
  11. 163
  12. Complementary
  13. 74
  14. 66
  15. 103
  16. Supplementary
  17. Neither
  18. Neither
  19. 60
  20. Complementary
  21. 99
  22. Complementary
  23. 40
  24. 120
  25. 104
  26. 53
  27. 52
  28. 159
  29. 156
  30. 9
  31. Supplementary
  32. Supplementary
  33. 106
  34. 72
  35. Neither
  36. 152
  37. Complementary
  38. 45
  39. Complementary
  40. 27

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