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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 295 · 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 straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  3. 3.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 72° and 18° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.What is the supplement of 172° (in degrees)?
  6. 6.What is the complement of 23° (in degrees)?
  7. 7.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 18° and 162° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 86°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the supplement of 173° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its alternate interior angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  15. 15.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 9° (in degrees)?
  19. 19.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the supplement of 103° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 69° (in degrees)?
  24. 24.What is the supplement of 55° (in degrees)?
  25. 25.What is the supplement of 76° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  27. 27.What is the complement of 51° (in degrees)?
  28. 28.What is the complement of 5° (in degrees)?
  29. 29.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 45° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 118°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the supplement of 7° (in degrees)?
  33. 33.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 34° (in degrees)?
  36. 36.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 67° (in degrees)?
  38. 38.Are 53° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.What is the supplement of 171° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 135
  2. 92
  3. 109
  4. Complementary
  5. 8
  6. 67
  7. 48
  8. Supplementary
  9. 52
  10. 107
  11. 94
  12. 7
  13. 84
  14. 53
  15. Complementary
  16. 158
  17. 138
  18. 81
  19. 54
  20. 130
  21. 77
  22. 118
  23. 21
  24. 125
  25. 104
  26. 83
  27. 39
  28. 85
  29. 71
  30. 45
  31. 62
  32. 173
  33. Complementary
  34. 111
  35. 146
  36. 72
  37. 23
  38. Complementary
  39. 9
  40. 54

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