SOLUTION: The measure of one acute angle in a right triangle is four times the measure of the other acute angle. Write and solve a system of equations to find the measures of the acute angle

Question 955224: The measure of one acute angle in a right triangle is four times the measure of the other acute angle. Write and solve a system of equations to find the measures of the acute angles.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
a=small acute angle; b=other acute angle
b=4a
a+b=90 degrees substitute for b.
a+4a=90 degrees
5a=90 degrees
a=18 degrees ANSWER 1:The small angle is 18 degrees.
b=4a=4(18 degrees)=72 degrees ANSWER 2:The large acute angle is 72 degrees.

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