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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 778 · 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 parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 135° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the complement of 83° (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 complement of 55° (in degrees)?
  8. 8.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 36° (in degrees)?
  11. 11.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 22° (in degrees)?
  13. 13.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 12° (in degrees)?
  15. 15.What is the complement of 48° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 6° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  21. 21.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 151° (in degrees)?
  24. 24.What is the supplement of 166° (in degrees)?
  25. 25.Are 27° and 137° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 169° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  32. 32.What is the supplement of 46° (in degrees)?
  33. 33.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 59° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 18° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the complement of 41° (in degrees)?
  40. 40.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 117
  2. 45
  3. 86
  4. 43
  5. 7
  6. 56
  7. 35
  8. Complementary
  9. 149
  10. 54
  11. 93
  12. 68
  13. 60
  14. 78
  15. 42
  16. 127
  17. 174
  18. 89
  19. 98
  20. 132
  21. Complementary
  22. 41
  23. 29
  24. 14
  25. Neither
  26. 62
  27. 138
  28. 131
  29. 69
  30. 11
  31. 118
  32. 134
  33. 125
  34. Neither
  35. 77
  36. 72
  37. 150
  38. 131
  39. 49
  40. 116

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