SOLUTION: angle x and angle y are complementary. if angle x is 4 times larger than angle y. what is the measure of angle x?

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Question 927590: angle x and angle y are complementary. if angle x is 4 times larger than angle y. what is the measure of angle x?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles are Complementary when they
add up to 90 degrees (a right angle).
so, x%2By=90....eq.1
if angle x is 4 times larger than angle y, then
x=4y....eq.2...substitute in eq.1
4y%2By=90....eq.1..solve for y
5y=90
y=90%2F5
highlight%28y=18%29
and x=4y=>x=4%2A18=>highlight%28x=72%29