find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12

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

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you answer is a

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: