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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 559 · 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 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the complement of 12° (in degrees)?
  3. 3.What is the supplement of 154° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 23° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 74° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the supplement of 6° (in degrees)?
  16. 16.What is the complement of 30° (in degrees)?
  17. 17.What is the complement of 25° (in degrees)?
  18. 18.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.What is the complement of 55° (in degrees)?
  21. 21.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  23. 23.What is the complement of 15° (in degrees)?
  24. 24.What is the complement of 70° (in degrees)?
  25. 25.What is the complement of 35° (in degrees)?
  26. 26.What is the complement of 9° (in degrees)?
  27. 27.What is the complement of 17° (in degrees)?
  28. 28.What is the complement of 28° (in degrees)?
  29. 29.What is the complement of 8° (in degrees)?
  30. 30.What is the complement of 63° (in degrees)?
  31. 31.What is the supplement of 115° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  33. 33.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 129° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 77° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 117° (in degrees)?
  39. 39.Are 23° and 157° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.What is the complement of 20° (in degrees)?

Answer key

  1. 121
  2. 78
  3. 26
  4. 129
  5. 67
  6. 30
  7. 94
  8. 78
  9. 98
  10. 31
  11. 103
  12. 116
  13. 16
  14. 142
  15. 174
  16. 60
  17. 65
  18. 144
  19. Complementary
  20. 35
  21. Complementary
  22. 69
  23. 75
  24. 20
  25. 55
  26. 81
  27. 73
  28. 62
  29. 82
  30. 27
  31. 65
  32. 71
  33. Complementary
  34. 51
  35. 87
  36. 13
  37. 91
  38. 63
  39. Supplementary
  40. 70

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