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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 552 · 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 angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 52° (in degrees)?
  4. 4.What is the supplement of 84° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  6. 6.What is the complement of 75° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 31° (in degrees)?
  10. 10.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 54° (in degrees)?
  12. 12.What is the supplement of 39° (in degrees)?
  13. 13.What is the complement of 80° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 49° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the complement of 69° (in degrees)?
  19. 19.What is the supplement of 8° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 117° (in degrees)?
  23. 23.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its alternate interior angle (in degrees)?
  26. 26.What is the supplement of 6° (in degrees)?
  27. 27.What is the complement of 56° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  31. 31.Are 15° and 52° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 22° (in degrees)?
  36. 36.What is the supplement of 10° (in degrees)?
  37. 37.What is the complement of 25° (in degrees)?
  38. 38.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the supplement of 71° (in degrees)?

Answer key

  1. 96
  2. 62
  3. 38
  4. 96
  5. 131
  6. 15
  7. 32
  8. 149
  9. 59
  10. 69
  11. 126
  12. 141
  13. 10
  14. 80
  15. 131
  16. 116
  17. 93
  18. 21
  19. 172
  20. 21
  21. 128
  22. 63
  23. Complementary
  24. Complementary
  25. 68
  26. 174
  27. 34
  28. 140
  29. Complementary
  30. 143
  31. Neither
  32. 43
  33. 138
  34. 67
  35. 68
  36. 170
  37. 65
  38. 46
  39. 39
  40. 109

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