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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 395 · 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 97° (in degrees)?
  2. 2.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 144° (in degrees)?
  4. 4.What is the complement of 73° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Are 64° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.Are 58° and 136° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the complement of 17° (in degrees)?
  10. 10.What is the supplement of 74° (in degrees)?
  11. 11.Are 74° and 31° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 6° (in degrees)?
  14. 14.Are 58° and 32° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Are 41° and 49° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  17. 17.What is the complement of 20° (in degrees)?
  18. 18.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 86° (in degrees)?
  21. 21.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 61° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 167° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 41° and 54° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the supplement of 33° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 158° (in degrees)?
  35. 35.What is the supplement of 165° (in degrees)?
  36. 36.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  38. 38.Are 22° and 111° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.What is the complement of 18° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 83
  2. 95
  3. 36
  4. 17
  5. 108
  6. 116
  7. Neither
  8. Neither
  9. 73
  10. 106
  11. Neither
  12. 108
  13. 84
  14. Complementary
  15. Complementary
  16. 55
  17. 70
  18. 70
  19. 152
  20. 94
  21. 63
  22. 92
  23. 29
  24. 158
  25. 13
  26. 141
  27. 32
  28. Supplementary
  29. 22
  30. 147
  31. Neither
  32. 147
  33. 51
  34. 22
  35. 15
  36. Complementary
  37. 47
  38. Neither
  39. 72
  40. 50

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