Question 739561
Let 


x = measure of angle A


y = measure of angle B


"Angles A and B are complementary" ---> x+y = 90


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"m < A is 5 times the value of m < B" ---> x = 5y


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x+y = 90


5y+y = 90 ... replace x with 5y (since x = 5y, they are the same)


6y = 90


y = 90/6


y = 15


x = 5y


x = 5*15


x = 75


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Summary:


We found that x = 75 and y = 15


The measure of angle A is <font color="red">75 degrees</font>


The measure of angle B is <font color="red">15 degrees</font>