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If AB=BC and line BD bisects line AC which of the following cannot be concluded?

A.) angle w = angle x

B.) angle w = angle z

C.) angle x = angle y

D.) AD=DC

E.) Line BD is perpendicular to line AC

(A), (B), and (C) can't be concluded.

Take w = 50, so since x is the other angle in a right triangle, x = 40

Since the angle at B is cut in two, and z is the same as x, and is also 40.

Since angle y is the same as w and is also one out of 3 angles that add to 180,

those both say that W is the same as Y.

Clearly, from this, A is false, B is false, and C is false.

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