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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 996 · 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.Are 59° and 31° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Are 50° and 55° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 139° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 29° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  9. 9.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 56° (in degrees)?
  11. 11.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.What is the supplement of 152° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 71°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the supplement of 21° (in degrees)?
  20. 20.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Are 39° and 51° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the complement of 71° (in degrees)?
  24. 24.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 43° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 157° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  37. 37.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Are 19° and 106° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. Complementary
  2. Neither
  3. 57
  4. 41
  5. 63
  6. 111
  7. 61
  8. 139
  9. 97
  10. 34
  11. Complementary
  12. 28
  13. 80
  14. 121
  15. 99
  16. 71
  17. 74
  18. 158
  19. 159
  20. 70
  21. 52
  22. Complementary
  23. 19
  24. 63
  25. 160
  26. 80
  27. 47
  28. 139
  29. 47
  30. 69
  31. 36
  32. 116
  33. Complementary
  34. 23
  35. 148
  36. 122
  37. 64
  38. Complementary
  39. Neither
  40. 56

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