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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 209 · 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 33°. What is its alternate interior angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 15° (in degrees)?
  5. 5.Are 29° and 144° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 82° (in degrees)?
  9. 9.What is the supplement of 92° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 86°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 55° (in degrees)?
  17. 17.What is the complement of 54° (in degrees)?
  18. 18.What is the supplement of 128° (in degrees)?
  19. 19.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 110° (in degrees)?
  22. 22.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 63° (in degrees)?
  24. 24.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 47° (in degrees)?
  26. 26.What is the complement of 45° (in degrees)?
  27. 27.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 91° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  30. 30.What is the complement of 26° (in degrees)?
  31. 31.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)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 47° (in degrees)?
  34. 34.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)?
  35. 35.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 79° and 11° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the supplement of 100° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 42° and 42° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Are 29° and 151° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 33
  2. 101
  3. 121
  4. 165
  5. Neither
  6. Complementary
  7. 93
  8. 98
  9. 88
  10. 144
  11. 94
  12. 99
  13. 49
  14. 151
  15. 138
  16. 35
  17. 36
  18. 52
  19. 72
  20. 67
  21. 70
  22. 138
  23. 27
  24. Complementary
  25. 133
  26. 45
  27. 48
  28. 89
  29. 143
  30. 64
  31. 134
  32. 110
  33. 43
  34. 131
  35. 137
  36. Complementary
  37. 80
  38. 95
  39. Neither
  40. Supplementary

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