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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 509 · 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 50° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 78° (in degrees)?
  3. 3.What is the supplement of 14° (in degrees)?
  4. 4.What is the supplement of 81° (in degrees)?
  5. 5.What is the supplement of 60° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the supplement of 133° (in degrees)?
  9. 9.What is the supplement of 19° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  11. 11.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)?
  12. 12.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 63° (in degrees)?
  15. 15.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 13° and 77° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 17° (in degrees)?
  21. 21.What is the supplement of 143° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Are 32° and 148° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.What is the complement of 27° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.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)?
  30. 30.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 41° (in degrees)?
  32. 32.Are 25° and 155° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the complement of 42° (in degrees)?
  36. 36.What is the complement of 55° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  39. 39.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 49° (in degrees)?

Answer key

  1. 115
  2. 102
  3. 166
  4. 99
  5. 120
  6. 127
  7. Complementary
  8. 47
  9. 161
  10. 140
  11. 85
  12. 42
  13. 88
  14. 117
  15. 52
  16. Complementary
  17. 91
  18. 52
  19. 62
  20. 163
  21. 37
  22. 33
  23. 64
  24. Complementary
  25. Supplementary
  26. 63
  27. 63
  28. 72
  29. 86
  30. 49
  31. 49
  32. Supplementary
  33. 90
  34. 159
  35. 48
  36. 35
  37. 56
  38. 95
  39. 146
  40. 41

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