To find the equation for the given supplementary angles, we need to remember that two angles are supplementary if the sum of their measures equals 180 degrees.
We are given:
- m∠TUV = (2x - 25)°
- m∠VUW = 110°
Since these angles are supplementary, we can write the equation:
\[ m∠TUV + m∠VUW = 180° \]
Substituting the values we have, we get:
\[ (2x - 25) + 110 = 180 \]
Now, let's simplify the left side of the equation:
\[ 2x - 25 + 110 = 180 \]
This simplifies to:
\[ 2x + 85 = 180 \]
Thus, we can write the equation to solve for \( x \) as:
\[ 2x + 85 = 180 \]
In the format requested, the equation can be expressed as:
\[ 2x° + 85° = 180° \]
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