Solve problem by using the elimination method

In a right triangle, one acute angle is 54° more than twice the other. Find the acute angle.

thanks

Since the angles of a triangle sum to 180
and it is a right triangle - 90 degrees is taken care of.
So we have only 90 degrees to 'play' with.

Let the smaller angle be 'x'
then the other is 2x + 54
Hence
x + 2x + 54 = 90
3x = 36
x = 12
The acute angle is 12 degrees
and the other is 78 degrees

The sum of the interior angles of a triangle is 180 degrees.
The angles of this right triangle are: 90, x, and 2x+54.

90+x+(2x+54) = 180
90+x+2x+54 = 180
144+3x = 180
144+3x-144 = 180-144
3x = 36
3x/3 = 36/3
x = 12

2x+54
= 2(12)+54
= 24+54
= 78

Answer: The acute angles are 12 degrees and 78 degrees.