Two supplementary angles have the following angle measures: m∠TUV=(2x−25)° and m∠VUW=110° . What is an equation to solve for x ? The equation should be in simplest terms.(1 point)

Answer 1

Since the two angles are supplementary, their measures add up to 180°. Therefore, we can set up the equation as follows:

\[ m\angle TUV + m\angle VUW = 180° \]

Substituting the given values:

\[ (2x - 25) + 110 = 180 \]

Now, we can simplify the equation:

1. Combine the constants: \[ 2x - 25 + 110 = 180 \] \[ 2x + 85 = 180 \]

So, the equation to solve for \( x \) is:

\[ 2x + 85 = 180 \]