Question 1105956
let x = the first angle
let y = the second angle.


if the angles are supplementary, their sum is 180 degrees.


x + y = 180


if one angle is doubled, the result is 69% less than the other angle.


let x be the angle that's doubled.
let y be the angle that is 69% less.


2x = y - .69y


simplify this to get 2x = .31y.


you have 2 equations that need to be solved simultaneously.


they are:


x + y = 180
2x = .31y


rearrange the second equation to get 2x - .31y = 0


your two equations are now:


x + y = 180
2x - .31y = 0


multiply both sides of the first equation by 2 and leave the second equation as is to get:


2x + 2y = 360
2x - .31y = 0


subtract the second equation from the first to get:


2.31y = 360


solve for y to get y = 360 / 2.31 = 155.8441558 degrees.


since x + y = 180, then x = 180 - y = 24.15584416 degrees.


2x = 48.31168831 degrees.


y - .69y = 48.31168831 degrees.


looks like the problem is solved.


the angles are 155.8441558 and 24.15584416 degrees.