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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 33 · 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 straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the supplement of 130° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  4. 4.What is the supplement of 119° (in degrees)?
  5. 5.What is the supplement of 50° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  8. 8.Are 59° and 31° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 135° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the supplement of 161° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  13. 13.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 153° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  16. 16.What is the supplement of 162° (in degrees)?
  17. 17.What is the complement of 40° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 157° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  22. 22.What is the complement of 20° (in degrees)?
  23. 23.What is the supplement of 158° (in degrees)?
  24. 24.What is the supplement of 37° (in degrees)?
  25. 25.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)?
  26. 26.What is the complement of 11° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 60° (in degrees)?
  29. 29.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 69° and 21° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.What is the complement of 47° (in degrees)?
  32. 32.What is the supplement of 36° (in degrees)?
  33. 33.Are 17° and 70° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 83° (in degrees)?
  37. 37.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 52° and 56° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.What is the supplement of 11° (in degrees)?
  40. 40.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 157
  2. 50
  3. 121
  4. 61
  5. 130
  6. 34
  7. 74
  8. Complementary
  9. 45
  10. 134
  11. 19
  12. 122
  13. 112
  14. 27
  15. 44
  16. 18
  17. 50
  18. 60
  19. 61
  20. 23
  21. 129
  22. 70
  23. 22
  24. 143
  25. 107
  26. 79
  27. 106
  28. 30
  29. 58
  30. Complementary
  31. 43
  32. 144
  33. Neither
  34. 65
  35. 112
  36. 7
  37. 126
  38. Neither
  39. 169
  40. 59

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