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

Answer 1

Since the two adjacent angles are inside a 90-degree angle, their measures should add up to 90 degrees.

Let x be the value of the variable.
The measure of the first angle is x + 4 degrees.
The measure of the second angle is 3x + 2 degrees.
So, x + 4 + 3x + 2 = 90.
By combining like terms, we get 4x + 6 = 90.
By subtracting 6 from both sides of the equation, we get 4x = 84.
By dividing both sides of the equation by 4, we get x = <<21=21>>21.

Therefore, the value of x is 21. Answer: \boxed{21}.