Question

One of the exterior and interior angles of a parallelogram are in ratio 2:3 . Find all angles of the parallelogra m

Answer 1

Step-by-step explanation:

Let interior angle be 2x° and exterior angle be 3x°.

ATQ,2x+3x=180

or 5x=180

or x=180/5=36°

So interior angle=2x=2×36=72°

Since opposite angles of a parallelogram are equal.

So one of the other angle=72°

Let 3rd angle be y°.

So y°+72°=180°

or y°=180-72=108°

4th angle also =108°

Hence all the angles of Parallelogram are 72°,108°,72°and 108°.