2 adjacent angles are inside a 90° angle. One angle has a measure of X plus 4 and the other angle has a measure of 3X plus 2. What is x
Let's denote the measure of the first angle as A and the measure of the second angle as B.
According to the problem, A + B = 90°, as both angles are inside a 90° angle.
We also know that the measure of the first angle is X + 4, so A = X + 4.
Similarly, the measure of the second angle is 3X + 2, so B = 3X + 2.
Substituting these values into the equation A + B = 90°, we get:
(X + 4) + (3X + 2) = 90°
4X + 6 = 90°
Next, we can solve for X:
4X = 90° - 6
4X = 84°
X = 84°/4
X = 21°
Therefore, X = 21.