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.What is the supplement of 144° (in degrees)?
- 2.What is the complement of 40° (in degrees)?
- 3.What is the supplement of 91° (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.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
- 6.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
- 7.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 8.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 9.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
- 10.What is the supplement of 49° (in degrees)?
- 11.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
- 12.What is the complement of 6° (in degrees)?
- 13.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
- 14.What is the complement of 56° (in degrees)?
- 15.What is the supplement of 64° (in degrees)?
- 16.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
- 17.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
- 18.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
- 19.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
- 20.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
- 21.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
- 22.What is the complement of 47° (in degrees)?
- 23.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
- 24.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
- 25.What is the complement of 33° (in degrees)?
- 26.What is the supplement of 166° (in degrees)?
- 27.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
- 28.What is the complement of 64° (in degrees)?
- 29.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
- 30.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
- 31.What is the complement of 12° (in degrees)?
- 32.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
- 33.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
- 34.What is the complement of 44° (in degrees)?
- 35.Two straight lines cross each other. One of the angles formed is 79°. What is the angle vertically opposite to it (in degrees)?
- 36.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
- 37.What is the supplement of 79° (in degrees)?
- 38.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
- 39.What is the supplement of 158° (in degrees)?
- 40.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
Answer key
- 36
- 50
- 89
- 61
- 138
- 70
- Complementary
- Supplementary
- 46
- 131
- 92
- 84
- 88
- 34
- 116
- 103
- 68
- 66
- 33
- 30
- 130
- 43
- 126
- 140
- 57
- 14
- 24
- 26
- 42
- 120
- 78
- 108
- 43
- 46
- 79
- 135
- 101
- 60
- 22
- 73
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