Geometry

The answer is C. EF = 51 and EG = 68.

1. First, write an equation based on the segment - addition postulate:

According to the segment - addition postulate, . Here, , , and . So the equation is .

2. Then, simplify the left - hand side of the equation:

Combine like terms: . The equation becomes .

3. Next, solve for :

Subtract from both sides: , which gives .

Subtract 5 from both sides: , so

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