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If A and B are supplementary, and A = (2x - 6)°, and B = (x + 12)°, find x.Question 51Select one:a.58b.62c.27d.3

Question

If A and B are supplementary, and A = (2x - 6)°, and B = (x + 12)°, find x.Question 51Select one:a.58b.62c.27d.3

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Solution

First, we need to understand that if angles A and B are supplementary, then their measures add up to 180 degrees.

So, we can set up the equation:

(2x - 6) + (x + 12) = 180

Simplify the equation by combining like terms:

3x + 6 = 180

Then, subtract 6 from both sides of the equation:

3x = 174

Finally, divide both sides by 3 to solve for x:

x = 58

So, the correct answer is a. 58.

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