Question

5. The measures of two adjacent angles of a parallelogram are in the ratio 3:7. Find the measure of each
of the angles of the parallelogram.​

Answer 1

Let 'x' be a common multiple,

therefore, the angles will be 3x and 7x..

We know that opposite sides of a parallelogram are parallel..

Therefore, 3x and 7x are co-interior angles and hence they are supplementary..

3x + 7x = 180°

10x = 180°

x = 180° / 10

x = 18°

Therefore the angles are,

3x = 3 × 18 = 54°

7x = 7 × 18 = 126°

Thank you!