Question

Between two supplementary angles , the measure of the greater angle is 54° more than the measure of the smaller angle . Find their measures . ​

Answer 1

Answer:

let measures of greater angle be x degree and the measure of smaller angle be y degree

among two supplementary angle is 54 degree more than the measure of smaller

according to conditions,

x=y+54 degree

x+y=180 degree

(y+54 degree) + y=180 degree

2y+54 degree =180 degree

2y=180 degree -54 degree

2y=126degree

y=126 degree /2

y=63 degree

x=y+54 degree

x= 63 degree +54 degree

x=117