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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 593 · 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 complement of 64° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 27° (in degrees)?
  4. 4.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 73° and 72° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the supplement of 75° (in degrees)?
  9. 9.Are 25° and 65° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.What is the supplement of 81° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 44° (in degrees)?
  14. 14.What is the supplement of 29° (in degrees)?
  15. 15.Are 78° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.What is the complement of 63° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 78°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 120° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 145°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 14° (in degrees)?
  29. 29.What is the supplement of 92° (in degrees)?
  30. 30.What is the complement of 76° (in degrees)?
  31. 31.What is the supplement of 9° (in degrees)?
  32. 32.Two angles are supplementary. One is 14° more than the other. What is the bigger 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 straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 6° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  37. 37.What is the complement of 82° (in degrees)?
  38. 38.What is the supplement of 44° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the complement of 23° (in degrees)?

Answer key

  1. 26
  2. 144
  3. 63
  4. 154
  5. Neither
  6. 142
  7. Complementary
  8. 105
  9. Complementary
  10. 99
  11. 83
  12. 89
  13. 46
  14. 151
  15. Neither
  16. 27
  17. 35
  18. 78
  19. 60
  20. 34
  21. 67
  22. 72
  23. 116
  24. 35
  25. 133
  26. 128
  27. 66
  28. 76
  29. 88
  30. 14
  31. 171
  32. 97
  33. 138
  34. 93
  35. 84
  36. 59
  37. 8
  38. 136
  39. 135
  40. 67

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