Answer:
x=36, y=144
Step-by-step explanation:
Ok so supplementary just means two angles that add up to 90. So as provided in the question let x be the smaller angle, and y be the larger angle.
By definition of a supplementary angle: [tex]x+y=180[/tex]
We can also derive another equation based on the relationship between x and y as given in the question. It says "one angle is 4 times larger than the other". Since we said that y is the larger number, it means that: [tex]y=4x[/tex]
We can substitute this definition into the first equation we made to solve for x
[tex]x+(4x)=180[/tex]
Add like terms
[tex]5x=180[/tex]
Divide both sides by 5
[tex]x=36[/tex]
Since we know that y=4x, we can substitute in 36 as "x" to solve for y
[tex]y=4(36)\\y=144[/tex]
