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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 194 · 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 supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the supplement of 83° (in degrees)?
  4. 4.What is the supplement of 164° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the complement of 50° (in degrees)?
  7. 7.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 66° (in degrees)?
  9. 9.What is the complement of 24° (in degrees)?
  10. 10.What is the supplement of 144° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  12. 12.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)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  16. 16.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 5° (in degrees)?
  21. 21.What is the supplement of 95° (in degrees)?
  22. 22.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 119° (in degrees)?
  25. 25.What is the supplement of 63° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 95°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 54° (in degrees)?
  29. 29.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 143° (in degrees)?
  35. 35.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 14° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 16° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 105
  2. 115
  3. 97
  4. 16
  5. 123
  6. 40
  7. 75
  8. 24
  9. 66
  10. 36
  11. 80
  12. 26
  13. 77
  14. 138
  15. 137
  16. Complementary
  17. 30
  18. 112
  19. 87
  20. 175
  21. 85
  22. 106
  23. 64
  24. 61
  25. 117
  26. 85
  27. 79
  28. 36
  29. Complementary
  30. 134
  31. 103
  32. 70
  33. 136
  34. 37
  35. 60
  36. 65
  37. 166
  38. 110
  39. 142
  40. Supplementary

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