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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 202 · 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 angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 23° and 157° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the supplement of 15° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the supplement of 118° (in degrees)?
  8. 8.Are 24° and 66° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Are 39° and 51° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 10° (in degrees)?
  14. 14.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 25° and 64° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 52° and 128° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  20. 20.Are 68° and 22° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Are 35° and 145° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.What is the complement of 8° (in degrees)?
  23. 23.What is the supplement of 159° (in degrees)?
  24. 24.What is the supplement of 147° (in degrees)?
  25. 25.What is the complement of 23° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  27. 27.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the supplement of 124° (in degrees)?
  31. 31.What is the supplement of 116° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 26° (in degrees)?
  36. 36.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 71° (in degrees)?
  38. 38.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 15° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?

Answer key

  1. 52
  2. 95
  3. Supplementary
  4. 165
  5. 84
  6. 76
  7. 62
  8. Complementary
  9. 73
  10. Complementary
  11. Complementary
  12. 80
  13. 80
  14. 54
  15. Neither
  16. 145
  17. 59
  18. Supplementary
  19. 66
  20. Complementary
  21. Supplementary
  22. 82
  23. 21
  24. 33
  25. 67
  26. 44
  27. Supplementary
  28. 128
  29. 49
  30. 56
  31. 64
  32. 34
  33. 87
  34. 100
  35. 64
  36. 46
  37. 19
  38. 127
  39. 75
  40. 77

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