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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 683 · 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 68° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the supplement of 131° (in degrees)?
  4. 4.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 47° and 116° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  9. 9.What is the supplement of 103° (in degrees)?
  10. 10.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 44° and 46° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 5° (in degrees)?
  17. 17.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 41° and 49° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 55° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  25. 25.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.What is the complement of 77° (in degrees)?
  27. 27.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 20° (in degrees)?
  29. 29.What is the complement of 10° (in degrees)?
  30. 30.What is the complement of 61° (in degrees)?
  31. 31.What is the complement of 11° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 79° and 136° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Are 49° and 164° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 124
  2. Complementary
  3. 49
  4. 159
  5. Neither
  6. 87
  7. 64
  8. 76
  9. 77
  10. Complementary
  11. Complementary
  12. 143
  13. Complementary
  14. 140
  15. 103
  16. 175
  17. 46
  18. 52
  19. 55
  20. Complementary
  21. 117
  22. 35
  23. 127
  24. 60
  25. Complementary
  26. 13
  27. 49
  28. 160
  29. 80
  30. 29
  31. 79
  32. 134
  33. 52
  34. 59
  35. 40
  36. 160
  37. 57
  38. 136
  39. Neither
  40. Neither

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