SOLUTION: one of two complimentary angles measures 30 degrees more than three times the other,find the measure of each angle

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Question 81121: one of two complimentary angles measures 30 degrees more than three times the other,find the measure of each angle
Answer by tutor_paul(427) About Me  (Show Source):
You can put this solution on YOUR website!
What you have here is 2 equations with 2 unknowns. Any time you have at least as many equations as unknowns, you can solve for the unknowns!
I will call the 2 angles in this problem A and B. Since you are given the fact that the angles are complementary, you know:
Equation #1: A%2BB=90
You also know from the given information that:
Equation #2: A=3B%2B30
So there are your 2 equations and 2 unknowns. You can use the substitution method to solve this. First, solve Equation #1 for B:
A%2BB=90
B=90-A
Now, substitute this expression for B into Equation #2:
A=3B%2B30
A=3%2890-A%29%2B30
A=270-3A%2B30
4A=300
highlight%28A=75%29degrees
Now that you have a value for angle A, substitute that back in to Equation #2 in order to find B:
A=3B%2B30
75=3B%2B30
3B=45
highlight%28B=15%29
And you are done.
Good Luck,
tutor_paul@yahoo.com