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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 555 · 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 parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  2. 2.Are 64° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.What is the complement of 26° (in degrees)?
  4. 4.What is the complement of 21° (in degrees)?
  5. 5.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the supplement of 90° (in degrees)?
  9. 9.What is the complement of 83° (in degrees)?
  10. 10.What is the supplement of 5° (in degrees)?
  11. 11.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.What is the complement of 85° (in degrees)?
  13. 13.What is the supplement of 161° (in degrees)?
  14. 14.What is the supplement of 120° (in degrees)?
  15. 15.What is the supplement of 81° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 46°. What is its corresponding angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  18. 18.What is the complement of 55° (in degrees)?
  19. 19.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 146° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the supplement of 77° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 50°. 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 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 13° (in degrees)?
  27. 27.What is the supplement of 172° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 111° (in degrees)?
  30. 30.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 164° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  35. 35.What is the complement of 20° (in degrees)?
  36. 36.What is the supplement of 136° (in degrees)?
  37. 37.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)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 70° (in degrees)?

Answer key

  1. 37
  2. Neither
  3. 64
  4. 69
  5. 61
  6. Supplementary
  7. Complementary
  8. 90
  9. 7
  10. 175
  11. Supplementary
  12. 5
  13. 19
  14. 60
  15. 99
  16. 46
  17. 57
  18. 35
  19. 126
  20. 34
  21. 124
  22. 103
  23. 130
  24. 35
  25. 143
  26. 77
  27. 8
  28. 31
  29. 69
  30. Complementary
  31. 154
  32. 16
  33. 65
  34. 143
  35. 70
  36. 44
  37. 93
  38. 86
  39. 124
  40. 110

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