two supplementary angles have the following angle measures m-angle/TUV = (2x - 25)° and m-angle/VUW = 110° what is an equation to solve for x? the ewaution should be in simplest terms.

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

To find an equation to solve for x, we can use the fact that the sum of the measures of supplementary angles is 180°.

m-angle/TUV + m-angle/VUW = 180°

Since m-angle/TUV = (2x - 25)° and m-angle/VUW = 110°, we can substitute these values into the equation:

(2x - 25)° + 110° = 180°

Simplifying the equation further:

2x - 25 + 110 = 180
2x + 85 = 180
2x = 180 - 85
2x = 95

Dividing both sides of the equation by 2:

x = 95/2

So the equation to solve for x is x = 47.5, where x is in simplest terms.

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