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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 212 · 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 46° (in degrees)?
  2. 2.What is the complement of 41° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 167° (in degrees)?
  5. 5.What is the complement of 59° (in degrees)?
  6. 6.What is the complement of 14° (in degrees)?
  7. 7.Are 57° and 135° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  10. 10.What is the complement of 6° (in degrees)?
  11. 11.What is the supplement of 20° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the supplement of 140° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (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 148°. What is its corresponding angle (in degrees)?
  17. 17.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  19. 19.What is the supplement of 137° (in degrees)?
  20. 20.What is the complement of 32° (in degrees)?
  21. 21.What is the supplement of 15° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 75° and 15° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.What is the complement of 77° (in degrees)?
  25. 25.What is the supplement of 173° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 38° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 105°. What is its corresponding angle (in degrees)?
  33. 33.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 39° and 34° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.What is the supplement of 67° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 44
  2. 49
  3. 48
  4. 13
  5. 31
  6. 76
  7. Neither
  8. 133
  9. 70
  10. 84
  11. 160
  12. 41
  13. 40
  14. 141
  15. 42
  16. 148
  17. Complementary
  18. 86
  19. 43
  20. 58
  21. 165
  22. 129
  23. Complementary
  24. 13
  25. 7
  26. 146
  27. 74
  28. 52
  29. 160
  30. 92
  31. 80
  32. 105
  33. 156
  34. Neither
  35. 113
  36. 151
  37. 99
  38. 149
  39. 124
  40. 59

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