+0  
 
0
90
2
avatar

Let us have a triangle ABC and a point D on BC such that BD=DC=DA. If angle ACB=\(35^\circ\) then how many degrees are in angle ABC?

 Apr 14, 2022
 #1
avatar+114 
0

Im pretty sure that was already did am im not right?

😎😎😎

 Apr 14, 2022
 #2
avatar+124592 
+1

             55   A  35

 

 

B  55      70   D 110            35   C

 

Since  AD  = DC, then  angle ACD = angle DAC = 35 = angle ACB

 

So angle  ADC =  180 - 2(35)  =   110°    and angle  ADB = 70°

 

But AD = BD   so  angle DAB  = angle ABD .....and by the exterior  angle theorem each must measure 55°

 

So....angle ABC = angle ABD   =   55°

 

 

cool cool cool

 Apr 14, 2022

19 Online Users

avatar