Suppose ABCD is a convex quadrilateral with ABC = 144, ADC = 105, and AB = BD = DC. Compute BCD - BAD
+1641 Suppose ABCD is a convex quadrilateral with ABC = 144, ADC = 105, and AB = BD = DC. Compute BCD - BAD.
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Angle ABD = x
Angle CBD = y
x + y = 144
x = 144 - y
y = 144 - x
∠ADB = 1/2(180 - x) (1)
∠BDC = 180 - 2(144 - x) (2)
(1) + (2) = 105
∠(x) = 82º ∠(y) = 62º
∠BCD - ∠BAD = 62 - 49
