Answer
$m\angle1=48$
$m\angle2=42$
Work Step by Step
Using the Angle Addition Postulate and the definition of a right angle:
$m\angle1+m\angle2=90$
Substitute the given expressions and solve for y.
$4y+(2y+18)=90$
Combine like terms.
$6y+18=90$
Subtract 18 from each side and simplify.
$6y+18-18=90-18$
$6y=72$
Divide each side by 6 and simplify.
$6y\div6=72\div6$
$y=12$
Substitute for y and simplify to find $m\angle1$.
$m\angle1=4y=4(12)=48$
Substitute for y and simplify to find $m\angle2$.
$m\angle2=2y+18=2(12)+18=24+18=42$
