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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 581 · 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 parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  2. 2.Are 46° and 44° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the supplement of 152° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 10° and 17° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 50° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  9. 9.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Are 24° and 25° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the supplement of 161° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  13. 13.What is the supplement of 169° (in degrees)?
  14. 14.What is the complement of 14° (in degrees)?
  15. 15.What is the complement of 25° (in degrees)?
  16. 16.What is the supplement of 57° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 68° and 63° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Are 46° and 167° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 159° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 53° (in degrees)?
  31. 31.Are 45° and 92° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the complement of 23° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 12° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 75° (in degrees)?
  38. 38.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the complement of 83° (in degrees)?

Answer key

  1. 74
  2. Complementary
  3. 28
  4. 145
  5. Neither
  6. 83
  7. 40
  8. 94
  9. Complementary
  10. Neither
  11. 19
  12. 56
  13. 11
  14. 76
  15. 65
  16. 123
  17. 121
  18. 116
  19. Neither
  20. 118
  21. Neither
  22. 59
  23. 155
  24. 76
  25. 21
  26. 115
  27. 111
  28. 90
  29. 116
  30. 127
  31. Neither
  32. 67
  33. 117
  34. 141
  35. 168
  36. 84
  37. 15
  38. 94
  39. 137
  40. 7

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