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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 269 · 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 157°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 34° (in degrees)?
  6. 6.Are 42° and 155° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Are 32° and 93° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 58° (in degrees)?
  10. 10.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 44° (in degrees)?
  12. 12.What is the supplement of 65° (in degrees)?
  13. 13.What is the complement of 72° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 71° (in degrees)?
  16. 16.Are 19° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 15° (in degrees)?
  20. 20.What is the supplement of 159° (in degrees)?
  21. 21.What is the supplement of 166° (in degrees)?
  22. 22.What is the complement of 56° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  24. 24.Are 54° and 126° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  34. 34.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  37. 37.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  38. 38.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)?
  39. 39.What is the supplement of 138° (in degrees)?
  40. 40.What is the complement of 74° (in degrees)?

Answer key

  1. 157
  2. 116
  3. 66
  4. 127
  5. 146
  6. Neither
  7. Neither
  8. 52
  9. 32
  10. 52
  11. 136
  12. 115
  13. 18
  14. 38
  15. 19
  16. Neither
  17. Complementary
  18. 37
  19. 165
  20. 21
  21. 14
  22. 34
  23. 38
  24. Supplementary
  25. 93
  26. 133
  27. Complementary
  28. 137
  29. 106
  30. 150
  31. 149
  32. 91
  33. 92
  34. 69
  35. 52
  36. 149
  37. 123
  38. 118
  39. 42
  40. 16

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