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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 417 · 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 56° (in degrees)?
  2. 2.What is the supplement of 5° (in degrees)?
  3. 3.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 110° (in degrees)?
  5. 5.What is the supplement of 57° (in degrees)?
  6. 6.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 51° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  9. 9.Two angles are complementary. One is 42° more than the other. What is the bigger 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.What is the complement of 21° (in degrees)?
  12. 12.What is the complement of 27° (in degrees)?
  13. 13.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 35° and 163° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  17. 17.Are 35° and 13° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the supplement of 154° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 145°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 76°. 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 57°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  27. 27.What is the complement of 80° (in degrees)?
  28. 28.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  33. 33.What is the supplement of 44° (in degrees)?
  34. 34.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  39. 39.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)?
  40. 40.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 34
  2. 175
  3. 48
  4. 70
  5. 123
  6. 56
  7. 129
  8. 97
  9. 66
  10. 62
  11. 69
  12. 63
  13. 145
  14. Neither
  15. 117
  16. 108
  17. Neither
  18. Supplementary
  19. Complementary
  20. 157
  21. 72
  22. 26
  23. 35
  24. 104
  25. 123
  26. 49
  27. 10
  28. 99
  29. Complementary
  30. 137
  31. 96
  32. 129
  33. 136
  34. 57
  35. 54
  36. 137
  37. 46
  38. 106
  39. 121
  40. 34

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