+0  
 
0
71
3
avatar

In the figure, BA = AD = DC and point D is on segment BC. The measure of angle ACD is 24 degrees. What is the measure of angle ABC?

 

 Feb 14, 2022
 #1
avatar+516 
+9

Since triangle ADC is an isosceles triangle, then angle DAC = angle ACD = 24 degrees. Thus, angle ADB = angle ACD + angle DAC by exterior angle theorem, so angle ADB = 24 + 24 = 48 degrees. Since triangle ABD is an isosceles triangle, then angle ABD = angle ADB = 48 degrees.

Angle ABC = angle ABD.

 

Angle ABC = 48 degrees.

 

smiley

 Feb 14, 2022
 #3
avatar+122390 
0

Nice work  guys  !!!!

 

cool cool cool

CPhill  Feb 14, 2022
 #2
avatar+36417 
+2

See this:

 

 Feb 14, 2022

20 Online Users