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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 158 · 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 132° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 78° (in degrees)?
  6. 6.Are 30° and 150° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.What is the supplement of 48° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 14° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 79° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the supplement of 22° (in degrees)?
  14. 14.What is the complement of 26° (in degrees)?
  15. 15.What is the complement of 46° (in degrees)?
  16. 16.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 21° (in degrees)?
  19. 19.What is the complement of 41° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  21. 21.What is the supplement of 174° (in degrees)?
  22. 22.What is the supplement of 55° (in degrees)?
  23. 23.What is the supplement of 54° (in degrees)?
  24. 24.What is the complement of 24° (in degrees)?
  25. 25.What is the supplement of 145° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 133° (in degrees)?
  31. 31.Are 35° and 55° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.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)?
  33. 33.What is the supplement of 95° (in degrees)?
  34. 34.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 102° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  39. 39.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 156
  2. Complementary
  3. 138
  4. 65
  5. 12
  6. Supplementary
  7. 132
  8. 38
  9. 76
  10. 117
  11. 101
  12. 43
  13. 158
  14. 64
  15. 44
  16. 148
  17. 80
  18. 159
  19. 49
  20. 61
  21. 6
  22. 125
  23. 126
  24. 66
  25. 35
  26. 120
  27. 151
  28. 46
  29. 70
  30. 47
  31. Complementary
  32. 76
  33. 85
  34. 115
  35. 78
  36. 132
  37. 78
  38. 67
  39. Complementary
  40. Complementary

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