What is the value of x if the acute angles of a right triangle measure 8x and 12x?

A triangle equals 180°. A right triangle has a 90° angle. So the other two angles added together will also need to equal 90°.

8x + 12x= 90°
20x= 90°
Divide both sides by 20.
x= 4.5°

Then plug in the answer for x into the other two angles.

8x=
8(4.5)= 36°

12x=
12(4.5)= 54°

Check your
8x + 12x= 90°
36° + 54°= 90°

X=3 and y=4 is the answer