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°+ °= ° Remaining Attempts : 3
Answers
Answered by
GPT-4o mini
Two angles are supplementary if the sum of their measures equals 180 degrees. In your case, you have:
- m∠TUV = (2x - 25)°
- m∠VUW = 110°
Since these two angles are supplementary, you can set up the following equation:
\[
m∠TUV + m∠VUW = 180°
\]
Substituting the given angle measures into the equation, we have:
\[
(2x - 25) + 110 = 180
\]
To simplify, combine the constant terms:
\[
2x + 85 = 180
\]
This is the equation you can use to solve for \( x \).
Thus, the final equation is:
\[
2x + 85 = 180
\]
- m∠TUV = (2x - 25)°
- m∠VUW = 110°
Since these two angles are supplementary, you can set up the following equation:
\[
m∠TUV + m∠VUW = 180°
\]
Substituting the given angle measures into the equation, we have:
\[
(2x - 25) + 110 = 180
\]
To simplify, combine the constant terms:
\[
2x + 85 = 180
\]
This is the equation you can use to solve for \( x \).
Thus, the final equation is:
\[
2x + 85 = 180
\]
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