SOLUTION: THE MEASURE OF ONE ACUTE ANGLE IN A RIGHT ANGLE IS 1 1/4 TIMES THE MEASURE OF THE OTHER ACUTE ANGLE. WHAT IS THE MEASURE OF THE LARGER ACUTE ANGLE?

Algebra ->  Angles -> SOLUTION: THE MEASURE OF ONE ACUTE ANGLE IN A RIGHT ANGLE IS 1 1/4 TIMES THE MEASURE OF THE OTHER ACUTE ANGLE. WHAT IS THE MEASURE OF THE LARGER ACUTE ANGLE?       Log On


   



Question 529128: THE MEASURE OF ONE ACUTE ANGLE IN A RIGHT ANGLE IS 1 1/4 TIMES THE MEASURE OF THE OTHER ACUTE ANGLE. WHAT IS THE MEASURE OF THE LARGER ACUTE ANGLE?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I suppose the problem was meant to say "the measure of one acute angle in a right triangle is 1 1/4 times the measure of the other acute angle."
That would make it clear that both acute angles add up to 90 degrees.
I the smaller one measures x degrees, the larger one will measure
%285%2F4%29x degrees and both together add up to
x%2B%285%2F4%29x=%289%2F4%29x degrees
If that is 90 degrees
90=%289%2F4%29x and x=40
So the larger angle would measure
%285%2F4%2940=50 degrees.