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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 745 · 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 78° and 58° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 53° and 37° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  10. 10.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 65° (in degrees)?
  13. 13.Are 76° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.What is the supplement of 143° (in degrees)?
  15. 15.What is the supplement of 18° (in degrees)?
  16. 16.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 28° and 49° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.Are 22° and 68° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.What is the supplement of 42° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  27. 27.What is the supplement of 63° (in degrees)?
  28. 28.What is the supplement of 37° (in degrees)?
  29. 29.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 6° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  35. 35.What is the complement of 7° (in degrees)?
  36. 36.What is the supplement of 124° (in degrees)?
  37. 37.What is the supplement of 58° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. Neither
  2. 55
  3. Complementary
  4. 116
  5. 130
  6. 95
  7. 118
  8. 127
  9. 51
  10. 62
  11. 103
  12. 115
  13. Neither
  14. 37
  15. 162
  16. 65
  17. Neither
  18. Complementary
  19. 138
  20. 130
  21. 52
  22. 122
  23. 73
  24. 139
  25. 63
  26. 65
  27. 117
  28. 143
  29. Complementary
  30. 104
  31. 125
  32. 66
  33. 174
  34. 121
  35. 83
  36. 56
  37. 122
  38. 102
  39. 48
  40. 114

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