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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 386 · 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.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 35°. 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 71°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 111° (in degrees)?
  10. 10.What is the supplement of 64° (in degrees)?
  11. 11.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?
  13. 13.What is the supplement of 109° (in degrees)?
  14. 14.What is the complement of 55° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  16. 16.What is the complement of 77° (in degrees)?
  17. 17.What is the supplement of 93° (in degrees)?
  18. 18.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Are 73° and 17° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.What is the supplement of 45° (in degrees)?
  23. 23.Are 80° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  25. 25.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)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  27. 27.Are 48° and 107° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.What is the supplement of 66° (in degrees)?
  29. 29.What is the complement of 71° (in degrees)?
  30. 30.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 12° and 168° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 9° (in degrees)?
  33. 33.What is the supplement of 78° (in degrees)?
  34. 34.Are 57° and 124° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Are 54° and 25° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the complement of 12° (in degrees)?
  37. 37.What is the supplement of 95° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 32° and 154° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 55
  2. 144
  3. Complementary
  4. 93
  5. 54
  6. 159
  7. 145
  8. 71
  9. 69
  10. 116
  11. 156
  12. 76
  13. 71
  14. 35
  15. 91
  16. 13
  17. 87
  18. 46
  19. 79
  20. 148
  21. Complementary
  22. 135
  23. Complementary
  24. 159
  25. 110
  26. 129
  27. Neither
  28. 114
  29. 19
  30. 129
  31. Supplementary
  32. 171
  33. 102
  34. Neither
  35. Neither
  36. 78
  37. 85
  38. 111
  39. Neither
  40. 129

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