Two adjacent angles are inside a 90 degree angle. One angle has a measure of (x+4) degree and the other angle has a measure of (3x+2) degree. What is x

Since the two adjacent angles are inside a 90 degree angle, their sum should be equal to 90 degrees.

So, we have the equation:
(x+4) + (3x+2) = 90

Combining like terms:
4x + 6 = 90

Subtracting 6 from both sides:
4x = 84

Dividing both sides by 4:
x = <<21=21>>21

Therefore, x is equal to 21.