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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 704 · 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 complement of 42° (in degrees)?
  2. 2.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 119° (in degrees)?
  4. 4.What is the complement of 54° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 20° (in degrees)?
  9. 9.Are 55° and 125° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Are 21° and 85° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 115° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 110° (in degrees)?
  16. 16.Are 78° and 152° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the supplement of 161° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 71° and 19° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  21. 21.Are 10° and 166° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 27° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  28. 28.What is the supplement of 139° (in degrees)?
  29. 29.What is the complement of 26° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 20° (in degrees)?
  32. 32.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 14° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
  37. 37.Are 11° and 79° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 121° (in degrees)?

Answer key

  1. 48
  2. 134
  3. 61
  4. 36
  5. 127
  6. 144
  7. 79
  8. 70
  9. Supplementary
  10. Neither
  11. Complementary
  12. 86
  13. 65
  14. 70
  15. 70
  16. Neither
  17. 19
  18. 152
  19. Complementary
  20. 48
  21. Neither
  22. 67
  23. 99
  24. 63
  25. 115
  26. 51
  27. 32
  28. 41
  29. 64
  30. 60
  31. 160
  32. Complementary
  33. 49
  34. 61
  35. 166
  36. 66
  37. Complementary
  38. 55
  39. 51
  40. 59

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