Question

two supplementary angles are in the ratio 5 is to 1 find the measure of each Angle

Answer 1

sum of two supplmentary angles are 360
so,
$5x + 1x = 360 \\ 6x = 360 \\ x = 360 \div 6 \\ x = 60 \\ now \: put \: x = 60 \\ that \: is \: 5 \times 60 = 300 \: and \: 1 \times 60 = 60 \\ so \: the \: angles \: are \: 300 \: and \: 60$
I hope it helps you

Answer 2

The answer is 30 and 150 degrees.

Let the measure of smaller angle be x
therefore the other angle would be 5x

As the angles are supplementary, there sum is 180 
therefor x + 5x = 180
therefore 6x = 180
x = 30

hence small angle is 30 degrees
the other angle is 5x = 5*30 = 150 degrees