Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles
and
.

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

Now we have two equations. If we simplify them, we get these:

Now you can substitute
in the first equation for
in the second equation

Add
to both sides of the equation

Add
to both sides

Divide both sides by 3

Now, you can substitute
for
in the first equation and simplify.


Therefore,
, and 
Don't forget to like and make it the brainliest!