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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 242 · 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 angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  5. 5.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)?
  6. 6.What is the complement of 8° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 56° (in degrees)?
  9. 9.What is the complement of 64° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  13. 13.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the supplement of 109° (in degrees)?
  15. 15.What is the complement of 19° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 59° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 23° (in degrees)?
  22. 22.What is the complement of 55° (in degrees)?
  23. 23.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  29. 29.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 32° (in degrees)?
  33. 33.What is the supplement of 10° (in degrees)?
  34. 34.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Are 77° and 43° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the supplement of 60° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 39° (in degrees)?

Answer key

  1. 135
  2. 111
  3. 60
  4. 48
  5. 145
  6. 82
  7. 143
  8. 124
  9. 26
  10. 101
  11. 56
  12. 112
  13. Complementary
  14. 71
  15. 71
  16. 112
  17. 31
  18. 129
  19. 140
  20. 104
  21. 67
  22. 35
  23. 46
  24. 105
  25. 43
  26. 44
  27. 64
  28. 35
  29. Complementary
  30. 51
  31. 96
  32. 58
  33. 170
  34. 159
  35. Supplementary
  36. Complementary
  37. Neither
  38. 120
  39. 138
  40. 141

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