SOLUTION: The measure of one of the angles of a right triangle is five times the measure of another angle of the triangle. What are the possible values of the measures of the second largest

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Question 946129: The measure of one of the angles of a right triangle is five times the measure of another angle of the triangle. What are the possible values of the measures of the second largest angle?
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Assuming that the smaller angle is multiplied by 5 to get the right angle,


So then the angles would be
, , and
.
.
.
Assuming the smaller angle is multiplied by 5 to get the next largest angle.



The angles would then be,
,, and

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
The measure of one of the angles of a right triangle is five times the measure of another angle of the triangle. What are the possible values of the measures of the second largest angle?
Let 2nd larger angle (largest = ), be L

Then smaller angle measures: , or 

We then get: 

5L + L = 450 ------ Multiplying by LCD, 5

6L = 450

L, or 2nd larger angle = , or 

You can do the check!! 

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