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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 30 · 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 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the complement of 79° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.What is the supplement of 45° (in degrees)?
  6. 6.What is the supplement of 51° (in degrees)?
  7. 7.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)?
  8. 8.What is the complement of 81° (in degrees)?
  9. 9.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the complement of 12° (in degrees)?
  12. 12.What is the supplement of 13° (in degrees)?
  13. 13.What is the complement of 52° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the supplement of 42° (in degrees)?
  20. 20.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.What is the complement of 58° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 52° and 27° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Are 77° and 104° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Are 17° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Are 72° and 108° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its alternate interior angle (in degrees)?
  34. 34.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 15° (in degrees)?
  37. 37.What is the complement of 62° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the supplement of 146° (in degrees)?
  40. 40.What is the complement of 67° (in degrees)?

Answer key

  1. 53
  2. 11
  3. 90
  4. Complementary
  5. 135
  6. 129
  7. 107
  8. 9
  9. 51
  10. 100
  11. 78
  12. 167
  13. 38
  14. 104
  15. 76
  16. 59
  17. 103
  18. 45
  19. 138
  20. Supplementary
  21. 32
  22. 130
  23. 149
  24. 110
  25. 37
  26. 36
  27. Neither
  28. Neither
  29. Neither
  30. Supplementary
  31. Complementary
  32. 111
  33. 141
  34. 91
  35. 63
  36. 75
  37. 28
  38. 109
  39. 34
  40. 23

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