SOLUTION: The measure of one complementary angle is 4/5 the measure of the other angle .Write an equation and find the measure of each angle

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Question 1044740: The measure of one complementary angle is 4/5 the measure of the other angle .Write an equation and find the measure of each angle

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles alpha and beta are complementary when they
add up to 90 degrees (a Right Angle}}}.
so, alpha%2Bbeta=90
if given alpha=%284%2F5%29beta, than we have
%284%2F5%29beta%2Bbeta=90.......solve for beta
%284%2F5%29beta%2B%285%2F5%29beta=90
%289%2F5%29beta=90
9beta=90%2A5
9beta=450
beta=450%2F9
beta=50

now find alpha
alpha=%284%2F5%29beta-> alpha=%284%2Fcross%285%291%29cross%2850%2910-> alpha=40