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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 971 · 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 straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 54° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 47° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 153° (in degrees)?
  14. 14.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 89° (in degrees)?
  16. 16.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 27° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 73° and 17° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the supplement of 159° (in degrees)?
  21. 21.Are 33° and 147° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the complement of 69° (in degrees)?
  23. 23.What is the complement of 11° (in degrees)?
  24. 24.What is the complement of 30° (in degrees)?
  25. 25.What is the complement of 46° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.What is the supplement of 119° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 21° (in degrees)?
  32. 32.Are 41° and 49° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.What is the complement of 49° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  35. 35.What is the complement of 52° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  38. 38.Are 19° and 34° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 139
  2. 34
  3. 129
  4. 79
  5. 126
  6. 30
  7. 76
  8. 58
  9. 42
  10. 88
  11. 133
  12. 81
  13. 27
  14. 67
  15. 91
  16. 49
  17. 63
  18. 117
  19. Complementary
  20. 21
  21. Supplementary
  22. 21
  23. 79
  24. 60
  25. 44
  26. 60
  27. Complementary
  28. 61
  29. 150
  30. 150
  31. 159
  32. Complementary
  33. 41
  34. 114
  35. 38
  36. 131
  37. 48
  38. Neither
  39. 46
  40. Supplementary

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