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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 237 · 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 173° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  4. 4.What is the complement of 5° (in degrees)?
  5. 5.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 33° and 113° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.What is the complement of 48° (in degrees)?
  10. 10.What is the supplement of 55° (in degrees)?
  11. 11.What is the complement of 53° (in degrees)?
  12. 12.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the complement of 63° (in degrees)?
  17. 17.What is the supplement of 161° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 104°. 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 68°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 37° (in degrees)?
  22. 22.What is the supplement of 43° (in degrees)?
  23. 23.What is the complement of 30° (in degrees)?
  24. 24.What is the supplement of 132° (in degrees)?
  25. 25.What is the complement of 40° (in degrees)?
  26. 26.What is the complement of 11° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 78° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  31. 31.What is the supplement of 124° (in degrees)?
  32. 32.What is the supplement of 99° (in degrees)?
  33. 33.What is the complement of 85° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 7
  2. 78
  3. 149
  4. 85
  5. 72
  6. Neither
  7. Supplementary
  8. Complementary
  9. 42
  10. 125
  11. 37
  12. 54
  13. 120
  14. 111
  15. 60
  16. 27
  17. 19
  18. 76
  19. 68
  20. 103
  21. 53
  22. 137
  23. 60
  24. 48
  25. 50
  26. 79
  27. 149
  28. 48
  29. 12
  30. 66
  31. 56
  32. 81
  33. 5
  34. 101
  35. 127
  36. Complementary
  37. 148
  38. 128
  39. 70
  40. 152

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