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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 423 · 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 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  4. 4.What is the supplement of 158° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the complement of 56° (in degrees)?
  8. 8.What is the supplement of 48° (in degrees)?
  9. 9.What is the complement of 71° (in degrees)?
  10. 10.Are 48° and 132° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.What is the supplement of 9° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 31° (in degrees)?
  17. 17.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)?
  18. 18.What is the supplement of 142° (in degrees)?
  19. 19.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 117° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 31° (in degrees)?
  23. 23.What is the complement of 81° (in degrees)?
  24. 24.What is the supplement of 107° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  26. 26.Are 46° and 44° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  28. 28.Are 34° and 56° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the complement of 64° (in degrees)?
  30. 30.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  32. 32.What is the supplement of 89° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 55° (in degrees)?
  36. 36.What is the supplement of 45° (in degrees)?
  37. 37.What is the complement of 17° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the supplement of 84° (in degrees)?
  40. 40.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 60
  2. 101
  3. 43
  4. 22
  5. 55
  6. 150
  7. 34
  8. 132
  9. 19
  10. Supplementary
  11. 171
  12. 128
  13. 81
  14. 86
  15. 120
  16. 59
  17. 53
  18. 38
  19. 73
  20. 63
  21. 129
  22. 149
  23. 9
  24. 73
  25. 98
  26. Complementary
  27. 31
  28. Complementary
  29. 26
  30. 79
  31. 132
  32. 91
  33. 24
  34. 146
  35. 125
  36. 135
  37. 73
  38. 144
  39. 96
  40. 154

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