What is the measure of angle x?

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The answer to this problem is simple since the percentage 41% is on a vertical line they are congruent or have the same angle

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41.5 degrees

There are 180 degrees in a semicircle. So if if 56 and 41 degrees are taken, that means that 83 degrees are left. One the angle is on one side of 'x' is the same as the other side. So that means that the 83 degrees that are left are split evenly in two. Therefore 'x' is 41.5 degrees. The equation would look like the following.

180-((angle)+(if other angles)= Left over degrees

Your specific equation looks like the following.

180-   97    = 83    83/2=41.5
       [56+41]