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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 213 · 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 angle is 58°. What is its corresponding angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  4. 4.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 59° (in degrees)?
  6. 6.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 13° (in degrees)?
  8. 8.What is the complement of 35° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 165° (in degrees)?
  12. 12.What is the complement of 36° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  14. 14.Are 29° and 41° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Are 24° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  19. 19.What is the supplement of 64° (in degrees)?
  20. 20.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.What is the supplement of 26° (in degrees)?
  23. 23.What is the complement of 22° (in degrees)?
  24. 24.What is the complement of 10° (in degrees)?
  25. 25.What is the complement of 77° (in degrees)?
  26. 26.What is the supplement of 149° (in degrees)?
  27. 27.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 48° and 42° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 80° (in degrees)?
  31. 31.What is the complement of 16° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Are 46° and 134° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.What is the complement of 49° (in degrees)?
  36. 36.What is the supplement of 129° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 145° (in degrees)?
  40. 40.What is the complement of 71° (in degrees)?

Answer key

  1. 58
  2. 148
  3. 138
  4. 134
  5. 31
  6. 62
  7. 167
  8. 55
  9. 140
  10. 37
  11. 15
  12. 54
  13. 30
  14. Neither
  15. Neither
  16. 91
  17. 21
  18. 142
  19. 116
  20. 97
  21. Supplementary
  22. 154
  23. 68
  24. 80
  25. 13
  26. 31
  27. 75
  28. Complementary
  29. 145
  30. 10
  31. 74
  32. 57
  33. 67
  34. Supplementary
  35. 41
  36. 51
  37. 53
  38. 56
  39. 35
  40. 19

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