6.在△ABC中,AB=AC,BD平分∠ABC交AC于D,DE垂直平分AB,垂足为E,则∠C= .
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6.在△ABC中,AB=AC,BD平分∠ABC交AC于D,DE垂直平分AB,垂足为E,则∠C= .
6.在△ABC中,AB=AC,BD平分∠ABC交AC于D,DE垂直平分AB,垂足为E,则∠C= .
6.在△ABC中,AB=AC,BD平分∠ABC交AC于D,DE垂直平分AB,垂足为E,则∠C= .
∠C=72°
因为DE垂直平分AB,所以∠A=∠ABD,
因为BD平分∠ABC,所以∠ABD=∠CBD,所以∠A=1/2∠ABC
因为AB=AC,所以∠ABC=∠C
所以∠C=2∠A
所以∠A+∠ABC+∠C=180°
∠A=36°
∠C=2∠A=72°
m没图吗
∵AB=AC
∴∠ABC=∠C
∵DE垂直平分AB
∴DA=DB
∴∠A=∠ABD
∵BD平分∠ABC
∴∠ABC=2∠A
∵∠A+∠ABC+∠C=180°
∴5∠A=180°
∴∠A=36°
36
36度