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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 474 · 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 52°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 12° and 122° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 6° (in degrees)?
  5. 5.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 164° (in degrees)?
  7. 7.What is the supplement of 122° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  9. 9.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)?
  10. 10.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 149° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 78° (in degrees)?
  16. 16.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 68° (in degrees)?
  18. 18.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 16° and 82° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.What is the supplement of 144° (in degrees)?
  21. 21.What is the complement of 73° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 72° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the supplement of 18° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are complementary. One is 2° 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 51°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the supplement of 20° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 42° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 108° (in degrees)?
  38. 38.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the supplement of 31° (in degrees)?

Answer key

  1. 52
  2. Neither
  3. 28
  4. 174
  5. 103
  6. 16
  7. 58
  8. 57
  9. 66
  10. 20
  11. Complementary
  12. 118
  13. 31
  14. 47
  15. 12
  16. 129
  17. 22
  18. 110
  19. Neither
  20. 36
  21. 17
  22. 74
  23. 101
  24. 105
  25. 18
  26. 109
  27. 162
  28. 47
  29. 54
  30. 46
  31. 51
  32. 107
  33. 160
  34. 158
  35. 138
  36. 93
  37. 72
  38. 54
  39. 38
  40. 149

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