Question

the measure of two adjacent angles of a parallelogram in the ratio 5:4.Find the measure of each of the angle of the parallelogram​

Answer 1

Let the measure of two adjacent angles of parallelogram be 'x'

Let the parallelogram, named as PQRS,

i.e, 5x:4x

We know that, In parallelogram, adjacent angles are supplementary. i.e, 180

Let's assume, angle P + angle Q = 180°

5x+4x=180°

9x=180°

x=180°/9

x=20°

So, 4x=4×20°=80° and 5x=5×20°=100°

We know that, In parallelogram, opposite sides are equal.

So, angle P = angle R=80°

and

angle Q = angle S=100°