McGraw Hill Integrated II, 2012
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Exercise 17 Page 273

The angles ∠ DXB and ∠ EXA are vertical angles.

x=38

Practice makes perfect

Let's begin by adding the given measurements to the figure.

We can see that ∠ DXB and ∠ EXA are vertical angles, so they are congruent and their measures are the same. This means that we can create an equation by setting them equal to one another. 3x+2=116 Let's solve it for x.
3x+2=116
3x=114
x=38