+0  
 
0
79
1
avatar

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
 #1
avatar+1540 
+2

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.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

31 Online Users

avatar