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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 452 · 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 44° (in degrees)?
  2. 2.What is the supplement of 102° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
  4. 4.What is the supplement of 51° (in degrees)?
  5. 5.What is the supplement of 48° (in degrees)?
  6. 6.What is the supplement of 79° (in degrees)?
  7. 7.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 36° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  12. 12.Are 70° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.What is the complement of 10° (in degrees)?
  14. 14.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.What is the complement of 74° (in degrees)?
  16. 16.Are 47° and 133° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Are 62° and 44° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.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)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  22. 22.What is the complement of 30° (in degrees)?
  23. 23.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 20° (in degrees)?
  25. 25.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Are 46° and 134° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.What is the supplement of 68° (in degrees)?
  28. 28.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  30. 30.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.What is the supplement of 95° (in degrees)?
  32. 32.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 7° (in degrees)?
  36. 36.What is the supplement of 116° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its alternate interior angle (in degrees)?
  38. 38.Are 19° and 110° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Are 29° and 132° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 136
  2. 78
  3. 68
  4. 129
  5. 132
  6. 101
  7. Supplementary
  8. 74
  9. 144
  10. 58
  11. 109
  12. Complementary
  13. 80
  14. Complementary
  15. 16
  16. Supplementary
  17. Neither
  18. 47
  19. 150
  20. 35
  21. 61
  22. 60
  23. 53
  24. 160
  25. Supplementary
  26. Supplementary
  27. 112
  28. 91
  29. 133
  30. Supplementary
  31. 85
  32. 121
  33. 95
  34. 126
  35. 83
  36. 64
  37. 131
  38. Neither
  39. Neither
  40. 86

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