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What is the measure of angle \(ABE\)?
Select all true statements about the figure.
\(c + b = d + c\)
\(d + b = 180\)
Rotate clockwise by angle \(ABC\) using center \(B\). Then angle \(CBD\) is the image of angle \(ABE\).
Rotate 180 degrees using center \(B\). Then angle \(CBD\) is the image of angle \(EBA\).
Reflect across the angle bisector of angle \(ABC\). Then angle \(CBD\) is the image of angle \(ABE\).
Reflect across line \(CE\). Then angle \(CBD\) is the image of angle \(EBA\).
Point \(D\) is rotated 180 degrees using \(B\) as the center. Explain why the image of \(D\) must lie on the ray \(BA\).
Find the value of \(x\).