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.(
ok everyone chill, the answer is 2x+85=180 yw
wrong
you put the same answer
Apologies for the mistake.
Since two angles are supplementary if their sum equals 180 degrees, we can write the equation as:
m∠TUV + m∠VUW = 180
Substituting the given angle measures, we have:
(2x - 25) + 110 = 180
Simplifying the equation, we get:
2x - 25 + 110 = 180
Combine like terms:
2x + 85 = 180
Subtract 85 from both sides:
2x = 180 - 85
2x = 95
Finally, divide both sides by 2 to solve for x:
x = 95/2
Therefore, the equation to solve for x in simplest terms is x = 47.5.
Two angles are supplementary if their sum equals 180 degrees.
In this case, since the angles TUV and VUW are supplementary, their sum is 180 degrees.
Therefore, we can write the equation:
m∠TUV + m∠VUW = 180
(2x - 25) + 110 = 180
Simplifying the equation:
2x - 25 + 110 = 180
2x + 85 = 180
To solve for x, we isolate x by subtracting 85 from both sides of the equation:
2x = 180 - 85
2x = 95
Finally, we divide both sides of the equation by 2 to solve for x:
x = 95/2
The equation to solve for x in simplest terms is x = 47.5.
Apologies for the repeated answer. Let's try solving the equation again:
Since two angles are supplementary if their sum equals 180 degrees, we can write the equation as:
m∠TUV + m∠VUW = 180
Substituting the given angle measures, we have:
(2x - 25) + 110 = 180
Simplifying the equation, we get:
2x - 25 + 110 = 180
Combine like terms:
2x + 85 = 180
Subtract 85 from both sides:
2x = 180 - 85
2x = 95
Finally, divide both sides by 2 to solve for x:
x = 95/2
Therefore, the equation to solve for x in simplest terms is x = 47.5.