Answer:
• ΔCFB ~ ΔEDB by the AA similarity
• mCE = 46°
Step-by-step explanation:
No lengths are marked equal on the diagram, so we cannot assume any of the chords is the same length as any other. Then there is no evidence that the conditions for SAS congruence are met for the given triangles. Likewise, there is no evidence that arcs DE and CF are the same length, which they would have to be to have measure 108°.
The angles with vertices C and E subtend the same arc, so have equal measures. Likewise for the angles with vertices D and F. The angles CBF and EBD are vertical angles, so also congruent. Hence the two triangles are AA similar.
The angle labeled 72° is half the sum of the measures of arcs CE and DF, so we have ...
(CE + 98°)/2 = 72°
CE = 144° -98° = 46° . . . . . multiply by 2 and subtract 98°
