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 42° more than the other. What is the bigger angle (in degrees)?
- 2.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 3.What is the complement of 45° (in degrees)?
- 4.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
- 5.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
- 6.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
- 7.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
- 8.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 9.What is the supplement of 134° (in degrees)?
- 10.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
- 11.What is the supplement of 102° (in degrees)?
- 12.What is the complement of 27° (in degrees)?
- 13.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
- 14.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
- 15.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
- 16.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
- 17.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
- 18.What is the supplement of 52° (in degrees)?
- 19.Are 18° and 162° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 20.What is the complement of 21° (in degrees)?
- 21.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
- 22.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
- 23.What is the supplement of 165° (in degrees)?
- 24.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
- 25.What is the complement of 30° (in degrees)?
- 26.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
- 27.What is the complement of 11° (in degrees)?
- 28.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
- 29.What is the complement of 26° (in degrees)?
- 30.What is the complement of 40° (in degrees)?
- 31.Are 55° and 35° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 32.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)?
- 33.What is the complement of 43° (in degrees)?
- 34.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
- 35.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 36.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
- 37.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
- 38.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
- 39.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
- 40.What is the supplement of 48° (in degrees)?
Answer key
- 111
- Supplementary
- 45
- 122
- 122
- 102
- 142
- Supplementary
- 46
- 71
- 78
- 63
- 64
- 50
- 75
- 48
- 78
- 128
- Supplementary
- 69
- 43
- 90
- 15
- 144
- 60
- 145
- 79
- 73
- 64
- 50
- Complementary
- 48
- 47
- 59
- Complementary
- 76
- 56
- 68
- 119
- 132
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