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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 616 · 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 straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 49° (in degrees)?
  4. 4.What is the supplement of 128° (in degrees)?
  5. 5.What is the supplement of 160° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the complement of 47° (in degrees)?
  8. 8.What is the complement of 22° (in degrees)?
  9. 9.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Are 21° and 9° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.What is the supplement of 14° (in degrees)?
  12. 12.Are 27° and 90° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 40° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 48° (in degrees)?
  19. 19.What is the supplement of 94° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 25° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  24. 24.Are 55° and 125° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Are 16° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.What is the supplement of 104° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its alternate interior angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  35. 35.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.What is the complement of 55° (in degrees)?
  37. 37.Are 78° and 66° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 45° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its alternate interior angle (in degrees)?

Answer key

  1. 125
  2. 72
  3. 131
  4. 52
  5. 20
  6. 157
  7. 43
  8. 68
  9. Complementary
  10. Neither
  11. 166
  12. Neither
  13. 160
  14. 67
  15. 50
  16. 109
  17. 51
  18. 42
  19. 86
  20. 74
  21. 65
  22. 65
  23. 151
  24. Supplementary
  25. Supplementary
  26. 76
  27. 91
  28. 57
  29. 127
  30. 74
  31. 78
  32. 46
  33. 134
  34. 102
  35. Supplementary
  36. 35
  37. Neither
  38. 112
  39. 135
  40. 93

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