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n the figure, BA = AD = DC and point D is on segment BC. The measure of angle ACD is 25 degrees. What is the measure of angle ABC?

 

 Dec 17, 2021
 #1
avatar+1636 
-1

Angle ABC = 60 degrees

 Dec 17, 2021
 #2
avatar+23187 
+1

Since AD = DC, angle(DAC) = angle(DCA) = 25o.

This means that angle(ADC) = 180o - 25o - 25o = 130o.

So, angle(BDA) = 180o - 130o = 50o.

Since BA = AD, angle(ABC) = 50o.

 

Notice that angle(ABD) is twice as large as angle(ACD). Will this always be true?

 Dec 17, 2021
 #3
avatar+1636 
0

Oops! cheeky   You are right! laugh

jugoslav  Dec 17, 2021

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