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

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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

Apr 10, 2018
edited by sageatron2000  Apr 10, 2018
edited by sageatron2000  Apr 10, 2018

### 5+0 Answers

#1
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No image is shown, sageatron.....

Apr 10, 2018
#2
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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
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Can you just upload the image  ???

CPhill  Apr 10, 2018
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I uploaded a link to the image

sageatron2000  Apr 10, 2018
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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"

Apr 10, 2018