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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 761 · 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 106° 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 supplement of 104° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  5. 5.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  9. 9.What is the complement of 58° (in degrees)?
  10. 10.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 124° (in degrees)?
  12. 12.What is the supplement of 49° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Are 73° and 107° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  16. 16.Are 18° and 72° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.What is the supplement of 62° (in degrees)?
  18. 18.What is the supplement of 13° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Are 47° and 43° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.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)?
  24. 24.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.What is the supplement of 50° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  30. 30.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 74° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 46°. What is its corresponding angle (in degrees)?
  33. 33.What is the supplement of 165° (in degrees)?
  34. 34.Are 63° and 27° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.What is the supplement of 166° (in degrees)?
  36. 36.What is the supplement of 46° (in degrees)?
  37. 37.What is the supplement of 82° (in degrees)?
  38. 38.What is the complement of 85° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 143
  2. 62
  3. 76
  4. 70
  5. 97
  6. 146
  7. 154
  8. 124
  9. 32
  10. 115
  11. 56
  12. 131
  13. 79
  14. Supplementary
  15. 109
  16. Complementary
  17. 118
  18. 167
  19. 91
  20. 24
  21. Complementary
  22. Complementary
  23. 40
  24. 55
  25. Complementary
  26. Complementary
  27. Supplementary
  28. 130
  29. 61
  30. 52
  31. 16
  32. 46
  33. 15
  34. Complementary
  35. 14
  36. 134
  37. 98
  38. 5
  39. 103
  40. 126

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