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

Since the two adjacent angles are inside a 90° angle, the sum of their measures must be 90°.

So, we can set up the equation:
(x + 4) + (3x + 2) = 90

Combining like terms, we get:
4x + 6 = 90

Subtracting 6 from both sides, we get:
4x = 84

Dividing both sides by 4, we get:
x = 21

Therefore, x is equal to 21.