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 140° more than the other. What is the bigger angle (in degrees)?
- 2.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
- 3.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
- 4.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
- 5.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
- 6.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 7.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
- 8.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
- 9.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
- 10.Are 22° and 159° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 11.What is the supplement of 73° (in degrees)?
- 12.What is the complement of 6° (in degrees)?
- 13.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
- 14.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
- 15.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
- 16.Are 64° and 116° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 17.What is the complement of 70° (in degrees)?
- 18.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
- 19.What is the complement of 52° (in degrees)?
- 20.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
- 21.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)?
- 22.What is the supplement of 60° (in degrees)?
- 23.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
- 24.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
- 25.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
- 26.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
- 27.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
- 28.Are 69° and 21° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 29.What is the supplement of 115° (in degrees)?
- 30.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
- 31.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
- 32.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
- 33.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
- 34.Are 71° and 109° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 35.Are 46° and 44° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 36.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
- 37.What is the complement of 33° (in degrees)?
- 38.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 39.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
- 40.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
Answer key
- 160
- 98
- 115
- 105
- 102
- Complementary
- 50
- 24
- 66
- Neither
- 107
- 84
- 56
- 119
- 148
- Supplementary
- 20
- 62
- 38
- 127
- 154
- 120
- 111
- 101
- 54
- 65
- 54
- Complementary
- 65
- 83
- 130
- 144
- 60
- Supplementary
- Complementary
- 41
- 57
- Complementary
- 111
- 107
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