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) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that the smaller angle is multiplied by 5 to get the right angle,
5x=90
x=16
So then the angles would be
16, 74, and 90
.
.
.
Assuming the smaller angle is multiplied by 5 to get the next largest angle.
x%2B5x=90
6x=90
x=15
The angles would then be,
15,75, and 90

Answer by MathTherapy(10552) About Me  (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 = 90%5Eo), be L

Then smaller angle measures: %281%2F5%29+%2A+L, or L%2F5

We then get: L+%2B+L%2F5+=+90

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

6L = 450

L, or 2nd larger angle = 450%2F6, or highlight_green%2875%5Eo%29

You can do the check!! 

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