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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 815 · 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 30°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the supplement of 10° (in degrees)?
  3. 3.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 56° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the supplement of 102° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 8° (in degrees)?
  11. 11.What is the supplement of 171° (in degrees)?
  12. 12.What is the complement of 45° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the supplement of 105° (in degrees)?
  17. 17.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 41° (in degrees)?
  19. 19.What is the complement of 32° (in degrees)?
  20. 20.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 72° and 108° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.Are 77° and 103° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 12° (in degrees)?
  26. 26.What is the complement of 77° (in degrees)?
  27. 27.Are 76° and 104° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Are 34° and 56° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 82° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  32. 32.What is the complement of 26° (in degrees)?
  33. 33.What is the supplement of 14° (in degrees)?
  34. 34.Are 57° and 123° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.What is the supplement of 168° (in degrees)?
  36. 36.Are 46° and 43° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Are 25° and 65° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.What is the complement of 20° (in degrees)?
  39. 39.Two angles are supplementary. One is 136° 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 69°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 30
  2. 170
  3. 69
  4. 34
  5. 67
  6. 72
  7. 78
  8. 153
  9. 63
  10. 172
  11. 9
  12. 45
  13. 117
  14. 117
  15. 39
  16. 75
  17. 111
  18. 49
  19. 58
  20. 76
  21. Supplementary
  22. Supplementary
  23. 136
  24. 120
  25. 168
  26. 13
  27. Supplementary
  28. 103
  29. Complementary
  30. 98
  31. 51
  32. 64
  33. 166
  34. Supplementary
  35. 12
  36. Neither
  37. Complementary
  38. 70
  39. 158
  40. 69

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