To solve for \( x \) using the information given about the supplementary angles \( \angle TUV \) and \( \angle VUW \), we can start by recalling that supplementary angles sum to 180 degrees.
We are given:
- \( M<TUV = 2x - 25 \)
- \( m<VUW = 110 \)
Since these angles are supplementary, we can set up the following equation:
\[ M<TUV + m<VUW = 180 \]
Substituting the expressions for the angles:
\[ (2x - 25) + 110 = 180 \]
Now, simplify the left side:
\[ 2x - 25 + 110 = 180 \]
Combine like terms:
\[ 2x + 85 = 180 \]
Now we have the equation in the requested format:
\[ 2x + 85 = 180 \]
This is the equation you would solve for \( x \).
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