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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 43 · 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 angle is 46°. What is its corresponding angle (in degrees)?
  2. 2.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 35° (in degrees)?
  4. 4.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)?
  5. 5.What is the complement of 25° (in degrees)?
  6. 6.What is the complement of 33° (in degrees)?
  7. 7.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.Are 35° and 145° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.What is the supplement of 155° (in degrees)?
  10. 10.Two angles are supplementary. One is 10° 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 116°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 31° and 142° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.What is the supplement of 47° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  18. 18.Are 24° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.What is the complement of 74° (in degrees)?
  23. 23.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)?
  24. 24.What is the complement of 48° (in degrees)?
  25. 25.What is the supplement of 140° (in degrees)?
  26. 26.Are 38° and 52° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 80° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 172° (in degrees)?
  35. 35.What is the complement of 29° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  37. 37.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)?
  38. 38.What is the supplement of 144° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?

Answer key

  1. 46
  2. 48
  3. 55
  4. 100
  5. 65
  6. 57
  7. Complementary
  8. Supplementary
  9. 25
  10. 95
  11. 116
  12. Neither
  13. 133
  14. 111
  15. 120
  16. 68
  17. 48
  18. Neither
  19. 52
  20. 146
  21. Supplementary
  22. 16
  23. 118
  24. 42
  25. 40
  26. Complementary
  27. 10
  28. 55
  29. 120
  30. 144
  31. 72
  32. 138
  33. 86
  34. 8
  35. 61
  36. 45
  37. 94
  38. 36
  39. 49
  40. 111

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