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To find the value of x, we can set up an equation based on the fact that the two angles are complementary:
(2x)° + (3x)° = 90°
Combining like terms, we have:
5x° = 90°
Dividing both sides by 5, we find:
x = 18°
Substituting this value back into the angle measures, we have:
(2x)° = 2(18°) = 36°
(3x)° = 3(18°) = 54°
So, x = 18°, (2x)° = 36°, and (3x)° = 54°.