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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 464 · 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.Are 76° and 104° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the complement of 80° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 18° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  10. 10.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 58° (in degrees)?
  12. 12.What is the complement of 40° (in degrees)?
  13. 13.What is the complement of 45° (in degrees)?
  14. 14.What is the supplement of 163° (in degrees)?
  15. 15.What is the complement of 14° (in degrees)?
  16. 16.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 56° (in degrees)?
  18. 18.What is the supplement of 38° (in degrees)?
  19. 19.What is the complement of 61° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its alternate interior angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the supplement of 137° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 54° (in degrees)?
  26. 26.What is the complement of 62° (in degrees)?
  27. 27.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Are 73° and 17° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.What is the supplement of 120° (in degrees)?
  31. 31.What is the complement of 19° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  33. 33.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 71° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the complement of 76° (in degrees)?
  39. 39.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Supplementary
  2. 131
  3. 32
  4. 147
  5. 10
  6. 152
  7. 72
  8. 60
  9. 49
  10. 65
  11. 32
  12. 50
  13. 45
  14. 17
  15. 76
  16. 53
  17. 34
  18. 142
  19. 29
  20. 141
  21. 48
  22. 45
  23. 43
  24. 132
  25. 36
  26. 28
  27. Complementary
  28. 98
  29. Complementary
  30. 60
  31. 71
  32. 78
  33. 119
  34. 78
  35. 144
  36. 109
  37. 100
  38. 14
  39. Supplementary
  40. 77

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