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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 57 · 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 15° (in degrees)?
  2. 2.What is the supplement of 79° (in degrees)?
  3. 3.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.What is the supplement of 61° (in degrees)?
  5. 5.What is the supplement of 101° (in degrees)?
  6. 6.What is the supplement of 12° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the supplement of 149° (in degrees)?
  11. 11.What is the complement of 84° (in degrees)?
  12. 12.Are 20° and 11° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.What is the complement of 65° (in degrees)?
  14. 14.Are 31° and 149° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 163° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the complement of 51° (in degrees)?
  20. 20.Are 22° and 68° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  22. 22.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)?
  23. 23.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 52° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the supplement of 174° (in degrees)?
  30. 30.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 76° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the supplement of 6° (in degrees)?
  34. 34.What is the complement of 8° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the complement of 16° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 71° (in degrees)?
  39. 39.What is the complement of 56° (in degrees)?
  40. 40.Are 12° and 168° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 75
  2. 101
  3. Complementary
  4. 119
  5. 79
  6. 168
  7. 98
  8. 32
  9. 118
  10. 31
  11. 6
  12. Neither
  13. 25
  14. Supplementary
  15. 73
  16. 17
  17. 148
  18. 101
  19. 39
  20. Complementary
  21. 71
  22. 111
  23. 46
  24. Supplementary
  25. 116
  26. 86
  27. 38
  28. 39
  29. 6
  30. 68
  31. 104
  32. 136
  33. 174
  34. 82
  35. 54
  36. 74
  37. 89
  38. 109
  39. 34
  40. Supplementary

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