若在四边形ABCD中,角A,角B角C角D的度数之比为1:3:3:5,则角D等于[ ]A.20°B.90°C.130°D.150°

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若在四边形ABCD中,角A,角B角C角D的度数之比为1:3:3:5,则角D等于[ ]A.20°B.90°C.130°D.150°

若在四边形ABCD中,角A,角B角C角D的度数之比为1:3:3:5,则角D等于[ ]A.20°B.90°C.130°D.150°
若在四边形ABCD中,角A,角B角C角D的度数之比为1:3:3:5,则角D等于[ ]
A.20°
B.90°
C.130°
D.150°

若在四边形ABCD中,角A,角B角C角D的度数之比为1:3:3:5,则角D等于[ ]A.20°B.90°C.130°D.150°
设角A,角B角C角D分别为x°,3x°,3x°,5x°
则:由四边形内角和定理得
x°+3x°+3x°+5x°=360°
12x°=360°
x=30°
所以角D=5x°=5×30°=150°
选D