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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 633 · 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 129°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the complement of 7° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 64° (in degrees)?
  5. 5.What is the complement of 11° (in degrees)?
  6. 6.What is the supplement of 133° (in degrees)?
  7. 7.What is the complement of 18° (in degrees)?
  8. 8.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 150°. 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 63°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the complement of 53° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.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)?
  18. 18.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the supplement of 66° (in degrees)?
  21. 21.What is the complement of 49° (in degrees)?
  22. 22.What is the complement of 13° (in degrees)?
  23. 23.What is the complement of 39° (in degrees)?
  24. 24.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 74° and 119° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 14° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 10° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 19° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 51
  2. 83
  3. 124
  4. 116
  5. 79
  6. 47
  7. 72
  8. 102
  9. 30
  10. 117
  11. 37
  12. 129
  13. 47
  14. 146
  15. 70
  16. Supplementary
  17. 158
  18. Complementary
  19. 34
  20. 114
  21. 41
  22. 77
  23. 51
  24. 110
  25. 61
  26. 59
  27. Neither
  28. 50
  29. 100
  30. 166
  31. 76
  32. 113
  33. 82
  34. 143
  35. 80
  36. 32
  37. 161
  38. 104
  39. 118
  40. 97

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