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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 833 · 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.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  3. 3.Are 80° and 100° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 21° and 69° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.Are 25° and 72° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 44° (in degrees)?
  13. 13.What is the supplement of 121° (in degrees)?
  14. 14.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 63° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  19. 19.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  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.What is the supplement of 117° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 6° (in degrees)?
  25. 25.Are 20° and 18° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Are 41° and 49° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  28. 28.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)?
  29. 29.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)?
  30. 30.What is the complement of 25° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  33. 33.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 55° (in degrees)?
  36. 36.Are 52° and 128° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.Are 54° and 36° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 31° and 59° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 153° (in degrees)?

Answer key

  1. 154
  2. 53
  3. Supplementary
  4. 32
  5. Complementary
  6. Neither
  7. Supplementary
  8. Complementary
  9. 76
  10. 150
  11. 104
  12. 46
  13. 59
  14. 73
  15. 117
  16. 137
  17. 82
  18. 41
  19. Complementary
  20. Complementary
  21. 99
  22. 63
  23. 129
  24. 84
  25. Neither
  26. Complementary
  27. 66
  28. 148
  29. 55
  30. 65
  31. 75
  32. 52
  33. 118
  34. 115
  35. 35
  36. Supplementary
  37. Complementary
  38. Complementary
  39. 54
  40. 27

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