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)

Question

2x°+___°= ___

Answer 1

To solve for \( x \) using the given information, we know that two angles are supplementary, meaning their measures add up to \( 180^\circ \).

Given:

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

Since these angles are supplementary, we can create the equation: \[ (2x - 25) + 110 = 180 \]

To put this in the requested format \( 2x° + ___° = ___ \):

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

2. Rewrite the equation as: \[ 2x + 85 = 180 \]

Thus, the equation in simplest terms is: \[ 2x° + 85° = 180 \]