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a. Let x be the missing angle measure. The equation can be written as:
x + 55 + 75 = 180
b. To solve the equation, we need to isolate x.
First, combine like terms:
x + 130 = 180
Next, isolate x by subtracting 130 from both sides of the equation:
x = 180 - 130
x = 50
Therefore, the value of x is 50.