Question

One of the two supplementary angles is seven-eighth as large as other.how many degrees are there in each angle?

Answer 1

Answer:

x=160° and y=20°

Step-by-step explanation:

the sum of the supplementary angles is 180°...

let one of the angles be 'x',

therefore,

y= ⅛x

therefore, x+y=180 ....1

therefore, x+⅛x=180

therefore, LCM is 8,

therefore, (8x+x)/8=180

therefore, (9/8)x=180

therefore, x=180*(8/9)

therefore, x=20*8

therefore, x=160°

therefore, from 1,

y=180-x

y=180-160

y=20°

therefore, x=160° & y=20°