Question

two supplementeny angles are such that the measure of one angle 4/5 of the measure of the other angle. find the measure of the angles.​

Answer 1

$\large\bf\green{Question}$

two supplementeny angles are such that the measure of one angle 4/5 of the measure of the other angle. find the measure of the angles.

$\large\bf\blue{Answer}$

One angle be x .

other angle be 4/5x .

so , they are supplementary means Their sum will be 180°.

$x + \frac{4}{5} x = 180 \\ \\ \frac{x}{1} + \frac{4}{5} x = 180 \\ \\ \frac{5x + 4x}{5} = 180 \\ \\ \frac{9x}{5} = 180 \\ \\ 9x = 180 \times 5 \\ \\ 9x = 900 \\ \\ x = \frac{900}{9} \\ \\ x = 100 \: \: \: 1st \: \: angle \\ \\ second \: angle \: \: \\ \\ \frac{4}{5} x \\ \\ \frac{4}{5} \times 100 \\ \\ 4 \times 20 = 80 \: \: \: \: 2nd \: \: angle \\ \\ 80 \: \: and\: \: \: 100$

HOPE IT HELPS

MARK BRAINLIEST PLS