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 straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
- 2.Are 74° and 16° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 3.What is the supplement of 23° (in degrees)?
- 4.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
- 5.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
- 6.What is the supplement of 174° (in degrees)?
- 7.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
- 8.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
- 9.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
- 10.What is the complement of 30° (in degrees)?
- 11.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
- 12.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
- 13.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
- 14.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
- 15.What is the supplement of 140° (in degrees)?
- 16.What is the complement of 19° (in degrees)?
- 17.What is the supplement of 101° (in degrees)?
- 18.What is the complement of 72° (in degrees)?
- 19.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
- 20.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
- 21.What is the supplement of 96° (in degrees)?
- 22.What is the complement of 12° (in degrees)?
- 23.Are 15° and 105° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 24.What is the complement of 5° (in degrees)?
- 25.Are 12° and 110° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 26.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
- 27.What is the complement of 76° (in degrees)?
- 28.What is the complement of 7° (in degrees)?
- 29.What is the supplement of 157° (in degrees)?
- 30.What is the supplement of 31° (in degrees)?
- 31.What is the supplement of 118° (in degrees)?
- 32.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
- 33.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
- 34.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
- 35.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
- 36.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
- 37.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
- 38.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
- 39.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
- 40.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
Answer key
- 23
- Complementary
- 157
- 150
- 87
- 6
- 95
- 158
- 100
- 60
- 86
- 31
- 64
- 143
- 40
- 71
- 79
- 18
- 130
- 73
- 84
- 78
- Neither
- 85
- Neither
- 42
- 14
- 83
- 23
- 149
- 62
- 86
- 154
- 124
- 73
- 147
- 119
- 97
- 64
- 30
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