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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 90 · 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 5° (in degrees)?
  2. 2.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 15° and 27° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 172° (in degrees)?
  7. 7.What is the supplement of 123° (in degrees)?
  8. 8.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)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the supplement of 60° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 23° and 157° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 41° and 74° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its alternate interior angle (in degrees)?
  16. 16.What is the supplement of 56° (in degrees)?
  17. 17.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 63° (in degrees)?
  20. 20.Are 64° and 138° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.What is the supplement of 145° (in degrees)?
  22. 22.What is the complement of 54° (in degrees)?
  23. 23.What is the supplement of 83° (in degrees)?
  24. 24.What is the complement of 78° (in degrees)?
  25. 25.What is the supplement of 20° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 51° (in degrees)?
  30. 30.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 81° (in degrees)?
  33. 33.What is the supplement of 159° (in degrees)?
  34. 34.Are 46° and 112° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 30° (in degrees)?
  37. 37.What is the complement of 27° (in degrees)?
  38. 38.What is the complement of 7° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 37° (in degrees)?

Answer key

  1. 85
  2. 111
  3. Neither
  4. Complementary
  5. 128
  6. 8
  7. 57
  8. 102
  9. 144
  10. 120
  11. 53
  12. Supplementary
  13. 104
  14. Neither
  15. 93
  16. 124
  17. 54
  18. 50
  19. 27
  20. Neither
  21. 35
  22. 36
  23. 97
  24. 12
  25. 160
  26. 96
  27. 146
  28. 99
  29. 39
  30. 60
  31. 127
  32. 99
  33. 21
  34. Neither
  35. 128
  36. 60
  37. 63
  38. 83
  39. 123
  40. 143

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