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) 2x°+ °= °

Answer 1

Supplementary angles add up to \(180^\circ\). Given the measures of the angles \(m∠TUV = (2x - 25)^\circ\) and \(m∠VUW = 110^\circ\), we can set up the equation as follows:

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

Now, simplifying the equation:

1. Combine like terms: \[ 2x - 25 + 110 = 180 \implies 2x + 85 = 180 \]

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

\[ 2x + 85 = 180 \]