Two adjacent angles are inside a 90° angle one angle has a measure of X + 4 and the other angle has a measure of 3 X + 2 what is x
Let's let x represent the measure of the smaller angle, which is X + 4.
The measure of the larger angle is then 3x + 2.
Since the two angles are adjacent, their measures add up to 90 degrees.
Therefore, 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 have 4X = 84.
Dividing both sides by 4, we find X = 21.
So, the value of x is 21.