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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 348 · 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 172° (in degrees)?
  2. 2.What is the supplement of 5° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 25° (in degrees)?
  6. 6.What is the supplement of 13° (in degrees)?
  7. 7.Are 73° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Are 14° and 166° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.What is the complement of 10° (in degrees)?
  12. 12.Are 20° and 70° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 51° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (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 7° (in degrees)?
  20. 20.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 11° (in degrees)?
  22. 22.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.What is the supplement of 36° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 48° (in degrees)?
  29. 29.Are 31° and 149° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  31. 31.What is the supplement of 6° (in degrees)?
  32. 32.Are 19° and 161° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Are 74° and 16° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.What is the supplement of 68° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  38. 38.What is the complement of 62° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 8
  2. 175
  3. 45
  4. 139
  5. 65
  6. 167
  7. Neither
  8. 30
  9. Supplementary
  10. Complementary
  11. 80
  12. Complementary
  13. 93
  14. 24
  15. 69
  16. 129
  17. 47
  18. 50
  19. 83
  20. 68
  21. 79
  22. Complementary
  23. 144
  24. 81
  25. 67
  26. 86
  27. 122
  28. 42
  29. Supplementary
  30. 129
  31. 174
  32. Supplementary
  33. Complementary
  34. 112
  35. 135
  36. Complementary
  37. 139
  38. 28
  39. 143
  40. 119

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