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B

Step-by-step explanation:

Remark

If we draw a line from F to T, we can make a couple of statements.

Call the center of the circle O

1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.

2. <GTF = 1/2 78 by the same reasoning used above.  GTF = 39 because that is 1/2 of 78.

So the answer to the size of <T = 39 + 30 = 69 which is B

There is a much simpler way of doing this.

The central angle of the two arcs is 78 + 60 = 138

The <GTE is 1/2 the central angle

<GTE = 1/2 * 138 = 69

the correct answer is 828.07