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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 46 · 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 interior angle is 88°. What is its alternate interior angle (in degrees)?
  2. 2.What is the complement of 52° (in degrees)?
  3. 3.What is the supplement of 37° (in degrees)?
  4. 4.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 39° (in degrees)?
  6. 6.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 35° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 132° (in degrees)?
  11. 11.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.What is the supplement of 28° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 55° (in degrees)?
  16. 16.What is the complement of 39° (in degrees)?
  17. 17.What is the complement of 7° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.Are 26° and 168° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the complement of 71° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 26° (in degrees)?
  25. 25.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 70° (in degrees)?
  29. 29.What is the supplement of 161° (in degrees)?
  30. 30.What is the supplement of 55° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Are 63° and 165° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 73° (in degrees)?
  36. 36.What is the complement of 5° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 48° and 132° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Are 37° and 63° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.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)?

Answer key

  1. 88
  2. 38
  3. 143
  4. 119
  5. 141
  6. 56
  7. 55
  8. 127
  9. 28
  10. 48
  11. Supplementary
  12. 152
  13. 130
  14. 77
  15. 35
  16. 51
  17. 83
  18. 105
  19. 53
  20. Complementary
  21. Neither
  22. 19
  23. 57
  24. 64
  25. 97
  26. 55
  27. 89
  28. 110
  29. 19
  30. 125
  31. 25
  32. Complementary
  33. Neither
  34. 128
  35. 17
  36. 85
  37. 33
  38. Supplementary
  39. Neither
  40. 116

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