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In △ ABC, ab = AC, and the acute angle obtained by the intersection of the vertical bisector of AB and the line where AC is located is 50 °, then ∠ B is equal to______ ．
According to ∠ A is acute angle and obtuse angle in △ ABC, it can be divided into two cases: ① when ∠ A is acute angle, the acute angle obtained by the intersection of the vertical bisector of ∵ AB and the line where AC is located is 50 °, and ∵ a = 40 °, and ∵ B = 180 − A2 = 180 − 40 ° 2 = 70 °; ② when ∵ A is obtuse angle, the acute angle obtained by the intersection of the vertical bisector of ∵ AB and the line where AC is located is 50 °, and ∵ 1 = 40 ° and ∵ BAC = 140 ° Therefore, the answer is: 70 ° or 20 °
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