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avatar+37 

in the diagram below,   B, C and  D are all on the same line, angle BAC = 24 degrees, and AB= AC = CD .

 

If angle ADC=X degrees, what is the value of X?

 

https://ibb.co/mJPMwc

sageatron2000  Apr 10, 2018
edited by sageatron2000  Apr 10, 2018
edited by sageatron2000  Apr 10, 2018
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5+0 Answers

 #1
avatar+85757 
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No image is shown, sageatron.....sad sad sad

 

 

cool cool cool

CPhill  Apr 10, 2018
 #2
avatar+37 
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oh sorry I cant get my laTeX to show up do you know how to do that

sageatron2000  Apr 10, 2018
 #3
avatar+85757 
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Can you just upload the image  ???

 

 

cool cool cool

CPhill  Apr 10, 2018
 #4
avatar+37 
0

I uploaded a link to the image

sageatron2000  Apr 10, 2018
 #5
avatar+85757 
+1

OK....!!!

 

Note that since AB  = AC....then angles ABC  and ACB  are  equal.....

So ACB  =  (180 - 24) / 2  =   156 / 2  =  78°

 

And ACD  is supplemental to ACB...so ACD  = 180 - 78  =  102°

 

And since AC  = CD....then angles ADC  and CAD are equal

 

So.... ADC  =  (180 - 102) / 2  =  78/2   =  39°  =  "x"

 

 

 

cool cool cool

CPhill  Apr 10, 2018

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