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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 730 · 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 38°. What is its corresponding angle (in degrees)?
  2. 2.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.What is the supplement of 24° (in degrees)?
  4. 4.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 16° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 27° and 111° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the supplement of 7° (in degrees)?
  13. 13.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 62° (in degrees)?
  15. 15.What is the supplement of 32° (in degrees)?
  16. 16.What is the supplement of 116° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  18. 18.What is the complement of 8° (in degrees)?
  19. 19.What is the complement of 62° (in degrees)?
  20. 20.What is the supplement of 17° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  22. 22.What is the supplement of 95° (in degrees)?
  23. 23.What is the complement of 14° (in degrees)?
  24. 24.Are 69° and 21° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.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)?
  26. 26.Are 72° and 108° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 152° (in degrees)?
  29. 29.Are 69° and 111° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 162° (in degrees)?
  34. 34.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 57° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 175° (in degrees)?
  39. 39.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 38
  2. Complementary
  3. 156
  4. 73
  5. 164
  6. 22
  7. 48
  8. Neither
  9. 97
  10. 134
  11. 144
  12. 173
  13. 135
  14. 118
  15. 148
  16. 64
  17. 123
  18. 82
  19. 28
  20. 163
  21. 134
  22. 85
  23. 76
  24. Complementary
  25. 145
  26. Supplementary
  27. 154
  28. 28
  29. Supplementary
  30. 89
  31. 73
  32. 122
  33. 18
  34. 61
  35. 57
  36. 33
  37. 30
  38. 5
  39. 95
  40. 73

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