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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 375 · 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 47° (in degrees)?
  2. 2.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  3. 3.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)?
  4. 4.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 61° and 132° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the supplement of 27° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 16° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 59° (in degrees)?
  13. 13.What is the complement of 75° (in degrees)?
  14. 14.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the complement of 83° (in degrees)?
  17. 17.Are 11° and 169° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.What is the complement of 10° (in degrees)?
  19. 19.What is the supplement of 110° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  25. 25.What is the complement of 42° (in degrees)?
  26. 26.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.What is the complement of 13° (in degrees)?
  28. 28.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  32. 32.What is the supplement of 6° (in degrees)?
  33. 33.Are 54° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Are 40° and 12° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Are 43° and 31° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the complement of 28° (in degrees)?
  37. 37.Are 50° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 77° (in degrees)?

Answer key

  1. 133
  2. 123
  3. 149
  4. 137
  5. Neither
  6. 153
  7. 122
  8. 28
  9. 78
  10. 74
  11. 141
  12. 121
  13. 15
  14. 91
  15. Complementary
  16. 7
  17. Supplementary
  18. 80
  19. 70
  20. 52
  21. 149
  22. 138
  23. 52
  24. 80
  25. 48
  26. Supplementary
  27. 77
  28. 160
  29. 122
  30. 57
  31. 31
  32. 174
  33. Neither
  34. Neither
  35. Neither
  36. 62
  37. Neither
  38. 112
  39. 136
  40. 103

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