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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 185 · 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 supplement of 175° (in degrees)?
  2. 2.What is the supplement of 125° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 45° (in degrees)?
  5. 5.Are 40° and 125° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  8. 8.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?
  11. 11.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 81° (in degrees)?
  13. 13.What is the complement of 16° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 131°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the supplement of 142° (in degrees)?
  17. 17.Are 70° and 110° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.What is the complement of 23° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 51° (in degrees)?
  22. 22.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 22° (in degrees)?
  26. 26.What is the complement of 25° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 83° (in degrees)?
  29. 29.What is the complement of 56° (in degrees)?
  30. 30.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.What is the complement of 65° (in degrees)?
  32. 32.Are 47° and 133° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 130° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 69° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 76° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 5
  2. 55
  3. 103
  4. 45
  5. Neither
  6. Complementary
  7. 144
  8. 135
  9. Complementary
  10. 77
  11. 133
  12. 9
  13. 74
  14. 49
  15. 64
  16. 38
  17. Supplementary
  18. 67
  19. 28
  20. 117
  21. 39
  22. 71
  23. 53
  24. 136
  25. 158
  26. 65
  27. 72
  28. 7
  29. 34
  30. Supplementary
  31. 25
  32. Supplementary
  33. 149
  34. 50
  35. 68
  36. 21
  37. 64
  38. 14
  39. 44
  40. 136

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