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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 760 · 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 angle is 92°. What is its corresponding angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  4. 4.What is the supplement of 166° (in degrees)?
  5. 5.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the supplement of 23° (in degrees)?
  8. 8.What is the supplement of 64° (in degrees)?
  9. 9.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 82° (in degrees)?
  11. 11.What is the supplement of 155° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 69° and 63° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.What is the supplement of 72° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 76° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 54° (in degrees)?
  21. 21.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)?
  22. 22.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Are 15° and 133° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 85° (in degrees)?
  27. 27.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 41° (in degrees)?
  30. 30.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 72° (in degrees)?
  32. 32.What is the supplement of 172° (in degrees)?
  33. 33.What is the supplement of 63° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 47° (in degrees)?
  37. 37.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 74° (in degrees)?
  39. 39.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)?
  40. 40.What is the supplement of 150° (in degrees)?

Answer key

  1. 92
  2. 38
  3. 105
  4. 14
  5. Complementary
  6. 60
  7. 157
  8. 116
  9. 54
  10. 8
  11. 25
  12. 121
  13. 53
  14. Neither
  15. 108
  16. 72
  17. 124
  18. 14
  19. 65
  20. 36
  21. 70
  22. 104
  23. Complementary
  24. Neither
  25. 25
  26. 5
  27. Complementary
  28. 24
  29. 49
  30. 146
  31. 18
  32. 8
  33. 117
  34. 87
  35. 104
  36. 43
  37. 52
  38. 106
  39. 26
  40. 30

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