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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 920 · 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 angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its alternate interior angle (in degrees)?
  3. 3.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the supplement of 15° (in degrees)?
  6. 6.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 47° (in degrees)?
  9. 9.Two angles are supplementary. One is 84° 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 126°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 59° and 31° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.What is the complement of 21° (in degrees)?
  13. 13.What is the complement of 6° (in degrees)?
  14. 14.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)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 77° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 8° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 52° (in degrees)?
  22. 22.What is the complement of 44° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 132° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  30. 30.What is the supplement of 109° (in degrees)?
  31. 31.Are 37° and 53° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.What is the supplement of 122° (in degrees)?
  33. 33.What is the complement of 16° (in degrees)?
  34. 34.What is the supplement of 32° (in degrees)?
  35. 35.What is the complement of 14° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  37. 37.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.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)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 75
  2. 119
  3. 91
  4. Complementary
  5. 165
  6. Supplementary
  7. 120
  8. 43
  9. 132
  10. 54
  11. Complementary
  12. 69
  13. 84
  14. 26
  15. 47
  16. 70
  17. 13
  18. 87
  19. 82
  20. 76
  21. 38
  22. 46
  23. 56
  24. 141
  25. 48
  26. 140
  27. 143
  28. 118
  29. 38
  30. 71
  31. Complementary
  32. 58
  33. 74
  34. 148
  35. 76
  36. 33
  37. Complementary
  38. 100
  39. 114
  40. 72

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