SOLUTION: Please try to help me on this question: If the measure of an angle is (7x-13)degree and the measure of its supplement is (5x-11)degree, find x.

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Question 148176: Please try to help me on this question:
If the measure of an angle is (7x-13)degree and the measure of its supplement is (5x-11)degree, find x.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the two angles are supplementary, this means that the two angles add to 180 degrees. So this means that %287x-13%29%2B%285x-11%29=180


7x-13%2B5x-11=180 Start with the given equation.


12x-24=180 Combine like terms on the left side.


12x=180%2B24 Add 24 to both sides.


12x=204 Combine like terms on the right side.


x=%28204%29%2F%2812%29 Divide both sides by 12 to isolate x.


x=17 Reduce.


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Answer:

So the answer is x=17