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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 909 · 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 77° (in degrees)?
  2. 2.Are 62° and 135° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.What is the supplement of 9° (in degrees)?
  4. 4.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.What is the supplement of 71° (in degrees)?
  6. 6.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the supplement of 86° (in degrees)?
  9. 9.What is the supplement of 34° (in degrees)?
  10. 10.What is the supplement of 62° (in degrees)?
  11. 11.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the supplement of 87° (in degrees)?
  14. 14.Are 14° and 166° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.What is the supplement of 8° (in degrees)?
  16. 16.What is the complement of 35° (in degrees)?
  17. 17.What is the complement of 26° (in degrees)?
  18. 18.What is the complement of 46° (in degrees)?
  19. 19.What is the supplement of 119° (in degrees)?
  20. 20.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 45° (in degrees)?
  22. 22.What is the complement of 42° (in degrees)?
  23. 23.What is the complement of 24° (in degrees)?
  24. 24.What is the complement of 65° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 63° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 71°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 49° (in degrees)?
  32. 32.What is the complement of 61° (in degrees)?
  33. 33.What is the supplement of 68° (in degrees)?
  34. 34.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 8° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 13
  2. Neither
  3. 171
  4. Supplementary
  5. 109
  6. 66
  7. 61
  8. 94
  9. 146
  10. 118
  11. 107
  12. 119
  13. 93
  14. Supplementary
  15. 172
  16. 55
  17. 64
  18. 44
  19. 61
  20. 99
  21. 135
  22. 48
  23. 66
  24. 25
  25. 26
  26. 27
  27. 86
  28. Supplementary
  29. 68
  30. 71
  31. 41
  32. 29
  33. 112
  34. Complementary
  35. 103
  36. 136
  37. 82
  38. 123
  39. 111
  40. 123

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