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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 789 · 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 74° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the supplement of 24° (in degrees)?
  4. 4.What is the supplement of 27° (in degrees)?
  5. 5.What is the complement of 22° (in degrees)?
  6. 6.What is the complement of 13° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  8. 8.What is the supplement of 48° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 71° (in degrees)?
  12. 12.Are 73° and 17° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 44° (in degrees)?
  18. 18.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.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)?
  21. 21.What is the complement of 65° (in degrees)?
  22. 22.What is the complement of 78° (in degrees)?
  23. 23.What is the complement of 51° (in degrees)?
  24. 24.What is the complement of 56° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the supplement of 89° (in degrees)?
  29. 29.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Are 15° and 135° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 152° (in degrees)?
  35. 35.What is the supplement of 157° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.What is the supplement of 99° (in degrees)?
  38. 38.What is the supplement of 142° (in degrees)?
  39. 39.What is the complement of 82° (in degrees)?
  40. 40.Are 22° and 68° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 106
  2. 45
  3. 156
  4. 153
  5. 68
  6. 77
  7. 110
  8. 132
  9. 119
  10. 135
  11. 19
  12. Complementary
  13. Complementary
  14. 62
  15. 33
  16. 75
  17. 136
  18. 116
  19. 46
  20. 98
  21. 25
  22. 12
  23. 39
  24. 34
  25. 97
  26. 61
  27. 150
  28. 91
  29. 47
  30. 102
  31. 97
  32. 44
  33. Neither
  34. 28
  35. 23
  36. 110
  37. 81
  38. 38
  39. 8
  40. Complementary

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