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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 701 · 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 complement of 46° (in degrees)?
  2. 2.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 113°. What is its corresponding angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 30° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  7. 7.Are 74° and 106° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  10. 10.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)?
  11. 11.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 67° and 113° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the complement of 49° (in degrees)?
  14. 14.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.What is the complement of 55° (in degrees)?
  16. 16.What is the complement of 30° (in degrees)?
  17. 17.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Are 72° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.What is the supplement of 40° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Are 49° and 24° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the supplement of 150° (in degrees)?
  31. 31.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 7° (in degrees)?
  36. 36.What is the complement of 50° (in degrees)?
  37. 37.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 59° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 137° (in degrees)?

Answer key

  1. 44
  2. 79
  3. 113
  4. 106
  5. 150
  6. 43
  7. Supplementary
  8. Complementary
  9. 103
  10. 148
  11. 63
  12. Supplementary
  13. 41
  14. Complementary
  15. 35
  16. 60
  17. Supplementary
  18. Neither
  19. 140
  20. 47
  21. 74
  22. 110
  23. 32
  24. 126
  25. Supplementary
  26. 140
  27. 38
  28. 142
  29. Neither
  30. 30
  31. 102
  32. Complementary
  33. 132
  34. 98
  35. 83
  36. 40
  37. 159
  38. 31
  39. 113
  40. 43

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