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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 746 · 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 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 38° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the complement of 69° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 37° and 143° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.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)?
  10. 10.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 37° and 155° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 84° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  17. 17.Are 69° and 111° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.What is the supplement of 132° (in degrees)?
  19. 19.Are 21° and 159° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.What is the complement of 12° (in degrees)?
  21. 21.What is the complement of 14° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 12° and 78° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.What is the supplement of 164° (in degrees)?
  26. 26.What is the complement of 68° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 20° and 70° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Are 55° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the complement of 10° (in degrees)?
  31. 31.What is the complement of 15° (in degrees)?
  32. 32.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  33. 33.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)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  36. 36.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 33° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  39. 39.What is the complement of 11° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 51
  2. 51
  3. 52
  4. 78
  5. 120
  6. 21
  7. 151
  8. Supplementary
  9. 127
  10. 109
  11. Neither
  12. 47
  13. 103
  14. 90
  15. 6
  16. 132
  17. Supplementary
  18. 48
  19. Supplementary
  20. 78
  21. 76
  22. 97
  23. 124
  24. Complementary
  25. 16
  26. 22
  27. 122
  28. Complementary
  29. Neither
  30. 80
  31. 75
  32. 68
  33. 59
  34. 131
  35. 92
  36. 147
  37. 57
  38. 38
  39. 79
  40. 63

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