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 supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
- 2.What is the supplement of 94° (in degrees)?
- 3.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
- 4.What is the supplement of 168° (in degrees)?
- 5.What is the supplement of 19° (in degrees)?
- 6.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
- 7.What is the complement of 23° (in degrees)?
- 8.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
- 9.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
- 10.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
- 11.What is the complement of 5° (in degrees)?
- 12.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
- 13.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 14.What is the supplement of 68° (in degrees)?
- 15.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
- 16.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
- 17.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
- 18.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
- 19.What is the complement of 60° (in degrees)?
- 20.What is the supplement of 171° (in degrees)?
- 21.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
- 22.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
- 23.Two parallel lines are cut by a transversal. One angle is 87°. What is its corresponding angle (in degrees)?
- 24.What is the complement of 68° (in degrees)?
- 25.What is the complement of 43° (in degrees)?
- 26.Are 38° and 69° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 27.What is the supplement of 81° (in degrees)?
- 28.What is the supplement of 45° (in degrees)?
- 29.What is the supplement of 163° (in degrees)?
- 30.What is the supplement of 165° (in degrees)?
- 31.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
- 32.What is the supplement of 156° (in degrees)?
- 33.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
- 34.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
- 35.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its alternate interior angle (in degrees)?
- 36.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
- 37.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
- 38.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its other interior angle on the same side of the transversal (in degrees)?
- 39.What is the supplement of 142° (in degrees)?
- 40.What is the supplement of 169° (in degrees)?
Answer key
- 93
- 86
- 105
- 12
- 161
- 129
- 67
- 56
- 54
- 138
- 85
- 68
- Complementary
- 112
- 87
- 49
- 20
- 61
- 30
- 9
- 129
- 142
- 87
- 22
- 47
- Neither
- 99
- 135
- 17
- 15
- 31
- 24
- 91
- 93
- 40
- 143
- 127
- 39
- 38
- 11
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