Question

Question

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

To find the equation to solve for \( x \), we start by using the property that supplementary angles sum up to \( 180^\circ \).

We have:

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

Since these angles are supplementary, we set up the equation:

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

Substituting the expressions we have:

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

Now, we can simplify this equation:

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

Combining like terms:

\[ 2x + 85 = 180 \]

This is the equation in simplest terms to solve for \( x \). Therefore, we have:

\[ 2x + 85 = 180 \]