Will medal...
I do not have a direct question, can someone teach me about the tangent-tangent angle theorem with intercepted arc?

Question

Will medal... 
I do not have a direct question, can someone teach me about the tangent-tangent angle theorem with intercepted arc?

anonymous · Answer

okay can you site me an example

ffasinger · Answer

Yes . hold on

anonymous · Answer

okay

ffasinger · Answer

In the diagram below,  and  are tangent to O. What is the measure of XYZ?



 		A.	64
 		B.	51
 		C.	47
 		D.	102

anonymous · Answer

what about the diagram

ffasinger · Answer

ffasinger · Answer

sorry it did notcopy over there it is in the link

anonymous · Answer

woo that is way off my knowledge neither grade

directrix · Answer

This theorem is what you need, I think.

directrix · Answer

Take 1/2 the difference between the far arc and the near arc to get the angle measure.

y = 1/2 ( 231 - 129)

What is that measure?

directrix · Answer

@FFASinger    Do you see the answer among the options?

anonymous · Answer

since that is the theorem then it is 
231-129/2

anonymous · Answer

am i correct @Directrix

ffasinger · Answer

No I dont I got 166.5

directrix · Answer

(231-129)/2 

Take half the difference of the two arcs.

anonymous · Answer

oh sorry  for that i was not meant to write the answer

directrix · Answer

it is 51  Correct.

231-129/2  and (231-129)/2  are not the same expression.

That is why @FFASinger got a different answer.

ffasinger · Answer

I got 51 too. and it is okay @Daniel56k

ffasinger · Answer

I tried to do that on a test and it was just not clicking thanks for your help

directrix · Answer

You are welcome.