Answer:
a= 144, b=36
Step-by-step explanation:
x: the measure of angle a
y: the measure of angle b
(Set up a system of two equations)
[tex]a=4b\\a+b=180[/tex]
(Use substitution; substitute 4b in for a)
[tex]4b+b=180[/tex]
(Simplify)
[tex]5b=180[/tex]
(Solve)
[tex]b=36[/tex]
(Choose any original equation and plug in 36 in place of b; solve)
[tex]a+b=180\\a+36=180\\a=144[/tex]
