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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 672 · 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.What is the complement of 23° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  6. 6.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 55° (in degrees)?
  8. 8.What is the supplement of 161° (in degrees)?
  9. 9.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.What is the complement of 77° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the supplement of 100° (in degrees)?
  16. 16.What is the supplement of 11° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 166° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  20. 20.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.What is the complement of 72° (in degrees)?
  22. 22.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)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  24. 24.Are 80° and 100° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  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.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  27. 27.Are 68° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the supplement of 107° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 120° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  34. 34.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 35° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the supplement of 17° (in degrees)?
  38. 38.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 15° (in degrees)?
  40. 40.What is the complement of 11° (in degrees)?

Answer key

  1. 67
  2. 32
  3. 151
  4. 112
  5. 52
  6. 69
  7. 35
  8. 19
  9. 152
  10. 149
  11. Complementary
  12. 13
  13. 55
  14. 146
  15. 80
  16. 169
  17. 118
  18. 14
  19. 84
  20. Complementary
  21. 18
  22. 123
  23. 135
  24. Supplementary
  25. 107
  26. 48
  27. Neither
  28. 49
  29. 73
  30. 114
  31. 60
  32. 119
  33. 145
  34. 95
  35. 145
  36. 111
  37. 163
  38. 130
  39. 75
  40. 79

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