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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 548 · 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 89°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 68° (in degrees)?
  3. 3.What is the supplement of 51° (in degrees)?
  4. 4.What is the supplement of 94° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 8° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  8. 8.Are 28° and 62° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 6° (in degrees)?
  16. 16.What is the supplement of 16° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 63° (in degrees)?
  20. 20.What is the complement of 39° (in degrees)?
  21. 21.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 13° (in degrees)?
  23. 23.What is the complement of 37° (in degrees)?
  24. 24.What is the complement of 29° (in degrees)?
  25. 25.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  26. 26.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)?
  27. 27.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the complement of 12° (in degrees)?
  31. 31.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 60° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 34° (in degrees)?
  36. 36.What is the supplement of 141° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  39. 39.Are 20° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.What is the complement of 40° (in degrees)?

Answer key

  1. 89
  2. 112
  3. 129
  4. 86
  5. 38
  6. 172
  7. 32
  8. Complementary
  9. 37
  10. 95
  11. 86
  12. 70
  13. 26
  14. 140
  15. 174
  16. 164
  17. 52
  18. 108
  19. 117
  20. 51
  21. 53
  22. 167
  23. 53
  24. 61
  25. 79
  26. 148
  27. Supplementary
  28. Complementary
  29. Complementary
  30. 78
  31. 56
  32. 54
  33. 120
  34. 123
  35. 56
  36. 39
  37. 54
  38. 71
  39. Neither
  40. 50

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