Answer:
Step-by-step explanation:
ΔABC is isosceles. Since BE ⊥ AC, it is the bisector of ∠ABC. Then ...
m∠EBC = (1/2)·m∠ABC = (1/2)·130°30'
m∠EBC = 65°15'
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BE is not only the bisector of ∠ABC, it is also the median from vertex B. That is ...
AC = 2·AE = 2·10 in
AC = 20 in
