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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 641 · 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.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Are 73° and 107° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 39° and 51° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the supplement of 158° (in degrees)?
  6. 6.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are supplementary. One is 10° 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 95°. 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 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 72° and 108° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.What is the complement of 16° (in degrees)?
  13. 13.What is the complement of 72° (in degrees)?
  14. 14.Are 18° and 86° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the supplement of 37° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the complement of 56° (in degrees)?
  18. 18.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.What is the supplement of 111° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  22. 22.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 44° (in degrees)?
  24. 24.What is the complement of 62° (in degrees)?
  25. 25.Two angles are complementary. One is 56° 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 126°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 30° (in degrees)?
  29. 29.What is the complement of 41° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  34. 34.What is the complement of 57° (in degrees)?
  35. 35.Are 60° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the complement of 52° (in degrees)?
  38. 38.What is the complement of 24° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the complement of 65° (in degrees)?

Answer key

  1. Complementary
  2. Supplementary
  3. 66
  4. Complementary
  5. 22
  6. 53
  7. 95
  8. 85
  9. 69
  10. 145
  11. Supplementary
  12. 74
  13. 18
  14. Neither
  15. 143
  16. 35
  17. 34
  18. Supplementary
  19. 69
  20. 127
  21. 36
  22. 153
  23. 136
  24. 28
  25. 73
  26. 126
  27. 117
  28. 150
  29. 49
  30. 118
  31. 139
  32. 143
  33. 74
  34. 33
  35. Supplementary
  36. Complementary
  37. 38
  38. 66
  39. 160
  40. 25

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