Answer:
B
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