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