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 parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
- 2.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
- 3.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
- 4.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
- 5.What is the complement of 20° (in degrees)?
- 6.What is the complement of 11° (in degrees)?
- 7.What is the complement of 56° (in degrees)?
- 8.What is the complement of 17° (in degrees)?
- 9.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
- 10.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
- 11.Are 73° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 12.What is the complement of 80° (in degrees)?
- 13.Are 21° and 159° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 14.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)?
- 15.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
- 16.Are 28° and 125° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 17.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
- 18.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
- 19.Are 14° and 166° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 20.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 21.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
- 22.What is the supplement of 164° (in degrees)?
- 23.What is the supplement of 5° (in degrees)?
- 24.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
- 25.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
- 26.What is the complement of 28° (in degrees)?
- 27.What is the supplement of 39° (in degrees)?
- 28.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
- 29.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
- 30.What is the complement of 12° (in degrees)?
- 31.What is the complement of 25° (in degrees)?
- 32.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
- 33.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
- 34.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
- 35.Are 54° and 43° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 36.What is the supplement of 134° (in degrees)?
- 37.What is the supplement of 56° (in degrees)?
- 38.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
- 39.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
- 40.Are 47° and 43° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
Answer key
- 52
- 54
- 159
- 79
- 70
- 79
- 34
- 73
- 120
- 59
- Neither
- 10
- Supplementary
- 111
- 108
- Neither
- 39
- 91
- Supplementary
- Supplementary
- 94
- 16
- 175
- 31
- 31
- 62
- 141
- 68
- 150
- 78
- 65
- 65
- 112
- 87
- Neither
- 46
- 124
- 101
- 123
- Complementary
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