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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 797 · 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 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)?
  2. 2.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the supplement of 57° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.What is the complement of 8° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 20° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the complement of 79° (in degrees)?
  21. 21.What is the supplement of 65° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 40° (in degrees)?
  25. 25.Are 67° and 148° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.What is the complement of 68° (in degrees)?
  28. 28.What is the supplement of 138° (in degrees)?
  29. 29.What is the complement of 5° (in degrees)?
  30. 30.What is the complement of 13° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  32. 32.What is the complement of 51° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 69° (in degrees)?
  36. 36.What is the supplement of 85° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 171° (in degrees)?
  40. 40.What is the complement of 56° (in degrees)?

Answer key

  1. 129
  2. 72
  3. Supplementary
  4. 98
  5. 107
  6. 89
  7. 107
  8. 123
  9. 151
  10. 71
  11. Complementary
  12. 82
  13. 149
  14. 125
  15. 141
  16. 41
  17. 54
  18. 70
  19. 141
  20. 11
  21. 115
  22. 144
  23. 50
  24. 50
  25. Neither
  26. Supplementary
  27. 22
  28. 42
  29. 85
  30. 77
  31. 61
  32. 39
  33. 132
  34. 97
  35. 111
  36. 95
  37. 74
  38. 35
  39. 9
  40. 34

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