< DCE ≅ < GCF must be true
Hence Option A and E are true statements.
A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.
According to the given figure:
DE ≅ FG
So < DCE ≅ < GCF must be true
Because DE ≅ FG
< DCE ≅ <GCF is similar to DE ≅ FG
Hence, < DCE ≅ < GCF must be true
Hence Option A and E are true statements.
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