Part A: What is the measure of angle x? Show your work. Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.

Using the triangle theorem, the angle (64 + x)° and 110° are alternate angles, therefore the angle marked, x is 46°
From the triangle theorem :
(64 + x)° = 110°
We can solve for x thus ;
x + 64 = 110
x + 64 - 64 = 110 - 64
x = 46°
Hence, the value of x in the triangle is 46°
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