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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 544 · 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 63°. What is its corresponding angle (in degrees)?
  2. 2.What is the complement of 45° (in degrees)?
  3. 3.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)?
  4. 4.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 35° (in degrees)?
  7. 7.What is the supplement of 163° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 51° (in degrees)?
  12. 12.What is the supplement of 25° (in degrees)?
  13. 13.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 11° (in degrees)?
  15. 15.What is the complement of 68° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the complement of 38° (in degrees)?
  18. 18.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 59° (in degrees)?
  22. 22.What is the complement of 29° (in degrees)?
  23. 23.What is the supplement of 36° (in degrees)?
  24. 24.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 153° (in degrees)?
  26. 26.Are 60° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 39° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Are 69° and 134° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the supplement of 64° (in degrees)?
  35. 35.What is the supplement of 68° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  37. 37.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)?
  38. 38.What is the supplement of 122° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 63
  2. 45
  3. 47
  4. Complementary
  5. 120
  6. 145
  7. 17
  8. 139
  9. 42
  10. 73
  11. 39
  12. 155
  13. 51
  14. 79
  15. 22
  16. 116
  17. 52
  18. 114
  19. 119
  20. 153
  21. 121
  22. 61
  23. 144
  24. Complementary
  25. 27
  26. Supplementary
  27. Supplementary
  28. 69
  29. 51
  30. 35
  31. Neither
  32. 106
  33. 95
  34. 116
  35. 112
  36. 116
  37. 121
  38. 58
  39. 71
  40. 52

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