SOLUTION: In a right triangle, if one acute angle has measure 6x-10 and the other has measure 2x-4, find the larger of these two angles.
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Question 325732: In a right triangle, if one acute angle has measure 6x-10 and the other has measure 2x-4, find the larger of these two angles.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the angles of any triangle is 
. Therefore, in a right triangle, where one of the angles measures 
, the sum of the other two angles must be 
.
Hence in your triangle,
\ +\ \left(2x\ -\ 4\right)\ =\ 90)
Solve for 
and then substitute back into 
and 
. Report the largest value.
John
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