SOLUTION: I am having problems with this question. If one of the acute angles of a right triangle has twice the measure of the other acute angle, what is the measure of the acute angle wi

Algebra ->  Triangles -> SOLUTION: I am having problems with this question. If one of the acute angles of a right triangle has twice the measure of the other acute angle, what is the measure of the acute angle wi      Log On


   



Question 164474: I am having problems with this question.
If one of the acute angles of a right triangle has twice the measure of the other acute angle, what is the measure of the acute angle with the greater measure?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the two angles A and B.
1.A=2B
You also know that
A%2BB%2B90=180
A%2BB=90
Use eq. 1 and substitute into this equation,
A%2BB=90
%282B%29%2BB=90
3B=90
B=30
A=60
The acute angle with the greater measure is 60 degrees.