Can anyone help me with this and explain how you got your answer? Brainiest and reward!!!

CF is perpendicular to AE

Why is this?

Because triangle AFC is congruent to EFC, we can see that angle AFC = angle EFC (by CPCTC). Then notice how the two angles in question form a straight angle of 180 degrees. If each angle is x degrees, then,

x+x = 180

2x = 180

x = 180/2

x = 90

So angle AFC and angle EFC are both 90 degrees each. This leads to showing CF is perpendicular to AE.

Side note: triangle AEC is isosceles with AC = CE

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