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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 240 · 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.What is the complement of 65° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 151°. 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 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  8. 8.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)?
  9. 9.What is the complement of 50° (in degrees)?
  10. 10.Are 23° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the supplement of 29° (in degrees)?
  12. 12.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 118° (in degrees)?
  14. 14.What is the complement of 26° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 67° (in degrees)?
  17. 17.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 55° and 125° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Are 71° and 109° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.What is the supplement of 122° (in degrees)?
  21. 21.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)?
  22. 22.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 167° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.What is the complement of 12° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  29. 29.Are 10° and 93° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 157° (in degrees)?
  31. 31.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Are 27° and 117° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the complement of 18° (in degrees)?
  34. 34.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  40. 40.Are 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 25
  2. 43
  3. 30
  4. 65
  5. 29
  6. 144
  7. 129
  8. 78
  9. 40
  10. Neither
  11. 151
  12. 103
  13. 62
  14. 64
  15. 123
  16. 23
  17. 112
  18. Supplementary
  19. Supplementary
  20. 58
  21. 121
  22. 160
  23. 13
  24. 20
  25. 111
  26. Complementary
  27. 78
  28. 51
  29. Neither
  30. 23
  31. Supplementary
  32. Neither
  33. 72
  34. 67
  35. Supplementary
  36. 126
  37. 112
  38. 72
  39. 126
  40. Complementary

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