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Point D is on side AC of triangel ABC such that angle ADB = angle ABD and angle ABC - angle ACB = 37 degrees.  Find angle DBC in degrees.

 Jul 6, 2021
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Point D is on side AC of triangle ABC such that angle ADB = angle ABD and angle ABC - angle ACB = 37 degrees.  Find angle DBC in degrees.

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Let triangle ABC be the right triangle.

 

∠B + ∠C = 90º          ∠ABD = ∠ADB = 45º

 

∠B = ∠C + 37          ∠C = x

 

x + 37 + x = 90          x = 26.5

 

∠DBC = ∠B - ∠ABD = 18.5º

 Jul 6, 2021

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