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Since the two angles are adjacent inside a 90° angle, their measures must add up to 90°.
So, we have the equation:
(x+4)° + (3x+2)° = 90°
Combining like terms:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing both sides by 4:
x = 21
Therefore, x = 21.