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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 770 · 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 133°. What is its alternate interior angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 175° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  6. 6.Are 80° and 100° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?
  9. 9.What is the supplement of 21° (in degrees)?
  10. 10.What is the supplement of 74° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 61° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are supplementary. One is 54° 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 80°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  19. 19.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)?
  20. 20.What is the complement of 45° (in degrees)?
  21. 21.What is the supplement of 25° (in degrees)?
  22. 22.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 136° (in degrees)?
  24. 24.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 45° and 45° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the complement of 27° (in degrees)?
  27. 27.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  29. 29.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  33. 33.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 49° (in degrees)?
  35. 35.Are 21° and 159° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 73° (in degrees)?
  39. 39.What is the complement of 39° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 133
  2. 109
  3. 5
  4. 50
  5. 132
  6. Supplementary
  7. 129
  8. 136
  9. 159
  10. 106
  11. 81
  12. 29
  13. 20
  14. 117
  15. 100
  16. 113
  17. 146
  18. 143
  19. 124
  20. 45
  21. 155
  22. 59
  23. 44
  24. 47
  25. Complementary
  26. 63
  27. 48
  28. 56
  29. 71
  30. 136
  31. Complementary
  32. 94
  33. 101
  34. 131
  35. Supplementary
  36. 40
  37. 49
  38. 17
  39. 51
  40. 126

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