two adjacent angles are inside a 90 degree angle one angle has a measure of x+4 another angle has a measure of 3x+2 what is x

The sum of two adjacent angles inside a 90-degree angle is equal to 90 degrees.

Therefore, we can write the equation:

(x+4) + (3x+2) = 90

Combining like terms, we get:

4x + 6 = 90

Subtracting 6 from both sides, we have:

4x = 84

Dividing both sides by 4, we get:

x = 21

Therefore, x = 21.