In a convex quadrilateral ABCD, Da = DB = DC = BC, then the degree of the largest angle in the quadrilateral is () A. 120°B. 135°C. 150°D. 165°

In a convex quadrilateral ABCD, Da = DB = DC = BC, then the degree of the largest angle in the quadrilateral is () A. 120°B. 135°C. 150°D. 165°


Solution: let ∠ CDA = x, ∠ ABC = y, ∵ Da = DB = DC = BC, ∵ BDC = ∠ DBC = ∠ DCB = 60 °, ∵ DBA = ∠ DAB, ∵ DAC = ∠ DCA, ∵ DBA + ∠ bad + ∠ BDA = 180 °,