Two supplementary angles have the following angle measures: m∠TUV=(2x−25)°

Question

and m∠VUW=110°
. What is an equation to solve for x
? The equation should be in simplest terms.(1 point)
2x°+
°=

°

Answer 1

To find the equation that represents the situation described, we start with the fact that supplementary angles add up to \(180^\circ\).

Given:

• \(m\angle TUV = (2x - 25)^\circ\)
• \(m\angle VUW = 110^\circ\)

Since they are supplementary, we can set up the following equation:

\[ m\angle TUV + m\angle VUW = 180^\circ \]

Substituting the expressions we have:

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

Now simplify this equation:

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

Thus, rearranging gives us:

\[ 2x + 85 = 180 \]

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

\[ 2x + 85 = 180 \]

This is in simplest terms, as required.