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 132°. What is its other interior angle on the same side of the transversal (in degrees)?
- 2.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
- 3.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
- 4.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
- 5.What is the complement of 38° (in degrees)?
- 6.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
- 7.Two parallel lines are cut by a transversal. One angle is 85°. What is its corresponding angle (in degrees)?
- 8.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
- 9.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
- 10.What is the supplement of 59° (in degrees)?
- 11.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
- 12.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
- 13.What is the supplement of 40° (in degrees)?
- 14.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 15.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
- 16.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
- 17.Are 55° and 53° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 18.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
- 19.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
- 20.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
- 21.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
- 22.What is the supplement of 58° (in degrees)?
- 23.What is the supplement of 127° (in degrees)?
- 24.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
- 25.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
- 26.What is the complement of 36° (in degrees)?
- 27.What is the complement of 41° (in degrees)?
- 28.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
- 29.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
- 30.Are 22° and 68° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 31.What is the supplement of 9° (in degrees)?
- 32.Are 80° and 100° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 33.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
- 34.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
- 35.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
- 36.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?
- 37.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
- 38.What is the complement of 58° (in degrees)?
- 39.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
- 40.Are 61° and 29° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
Answer key
- 48
- 48
- 72
- 61
- 52
- 73
- 85
- 55
- 59
- 121
- 156
- 69
- 140
- Supplementary
- 139
- 151
- Neither
- 74
- 78
- 37
- 42
- 122
- 53
- 76
- 142
- 54
- 49
- 67
- 44
- Complementary
- 171
- Supplementary
- 53
- 146
- 38
- 61
- 129
- 32
- 54
- Complementary
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