Class 7 Maths Worksheet: Lines and Angles
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.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
- 2.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 3.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
- 4.What is the complement of 24° (in degrees)?
- 5.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
- 6.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
- 7.What is the complement of 23° (in degrees)?
- 8.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 9.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
- 10.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
- 11.Are 58° and 122° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 12.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
- 13.What is the supplement of 70° (in degrees)?
- 14.What is the supplement of 12° (in degrees)?
- 15.What is the supplement of 118° (in degrees)?
- 16.What is the complement of 83° (in degrees)?
- 17.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
- 18.What is the complement of 46° (in degrees)?
- 19.What is the supplement of 154° (in degrees)?
- 20.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
- 21.What is the complement of 15° (in degrees)?
- 22.What is the complement of 27° (in degrees)?
- 23.What is the complement of 62° (in degrees)?
- 24.What is the complement of 67° (in degrees)?
- 25.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
- 26.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
- 27.What is the supplement of 168° (in degrees)?
- 28.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 29.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
- 30.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
- 31.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
- 32.What is the complement of 54° (in degrees)?
- 33.What is the supplement of 47° (in degrees)?
- 34.Two straight lines cross each other. One of the angles formed is 116°. What is the angle next to it on the same line (in degrees)?
- 35.What is the complement of 84° (in degrees)?
- 36.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
- 37.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
- 38.What is the complement of 29° (in degrees)?
- 39.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
- 40.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
Answer key
- 47
- Complementary
- 119
- 66
- 85
- 95
- 67
- Complementary
- 116
- 66
- Supplementary
- 108
- 110
- 168
- 62
- 7
- 108
- 44
- 26
- 124
- 75
- 63
- 28
- 23
- 29
- 40
- 12
- Complementary
- 43
- 117
- 49
- 36
- 133
- 64
- 6
- 53
- 46
- 61
- 150
- 73
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