To solve for \( x \) using the given information, we know that two angles are supplementary, meaning their measures add up to \( 180^\circ \).
Given:
- \( m∠TUV = (2x - 25)^\circ \)
- \( m∠VUW = 110^\circ \)
Since these angles are supplementary, we can create the equation: \[ (2x - 25) + 110 = 180 \]
To put this in the requested format \( 2x° + ___° = ___ \):
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Combine the constants: \[ (2x - 25) + 110 = 2x + 85 \]
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Rewrite the equation as: \[ 2x + 85 = 180 \]
Thus, the equation in simplest terms is: \[ 2x° + 85° = 180 \]