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Suppose ABCD is a convex quadrilateral with ABC = 144, ADC = 105, and AB = BD = DC. Compute BCD - BAD

 Dec 16, 2021
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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

 Dec 17, 2021

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