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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 562 · 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.What is the complement of 24° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the complement of 6° (in degrees)?
  4. 4.What is the complement of 71° (in degrees)?
  5. 5.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 31° (in degrees)?
  7. 7.What is the complement of 48° (in degrees)?
  8. 8.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)?
  9. 9.What is the complement of 79° (in degrees)?
  10. 10.What is the complement of 54° (in degrees)?
  11. 11.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 62° (in degrees)?
  16. 16.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)?
  17. 17.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  20. 20.Are 62° and 70° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 82° (in degrees)?
  23. 23.What is the complement of 52° (in degrees)?
  24. 24.Two angles are supplementary. One is 100° 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 133°. What is the angle next to it on the same line (in degrees)?
  26. 26.Are 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  28. 28.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)?
  29. 29.Are 17° and 73° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 23° (in degrees)?
  31. 31.Are 48° and 132° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Are 42° and 52° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 38° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its alternate interior angle (in degrees)?
  38. 38.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)?
  39. 39.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  40. 40.Are 46° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 66
  2. 128
  3. 84
  4. 19
  5. 70
  6. 59
  7. 42
  8. 54
  9. 11
  10. 36
  11. 61
  12. 150
  13. 95
  14. 99
  15. 28
  16. 30
  17. 102
  18. 135
  19. 139
  20. Neither
  21. 130
  22. 8
  23. 38
  24. 140
  25. 47
  26. Supplementary
  27. 111
  28. 107
  29. Complementary
  30. 157
  31. Supplementary
  32. Complementary
  33. 24
  34. Neither
  35. 152
  36. 52
  37. 108
  38. 98
  39. 36
  40. Neither

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