help me with this geometry problem [closed]

Let S1 and S2 be two circles intersecting at points A and B. Let C and D be points on S1 and S2 respectively such that line CD is tangent to both circles and A is closer to line CD than B. If \BCA = 52 and \BDA = 32, determine the degree measure of \CBD.

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Easy Math Editor

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Comments

Please do not answer this question until after the OMO has ended (Jan. 15th)! It creates an unfair advantage for a great contest based entirely on the honor system.

If you'd like to see other questions, here's a copy of the current OMO.

Eli Ross - 8 years, 5 months ago

This thread is now closed for commenting. In the spirit of our rules that ask you not to use our website to cheat on you're homework, we consider it implicit that you should not use this community to cheat on a contest based on honor. This would be a decent place to discuss interesting problems from the OMO AFTER the open is concluded, and it is no longer cheating.

Peter Taylor Staff - 8 years, 5 months ago

Here's a hint: [Edited out by Peter]

How many problems has your team done so far? This is problem #16 on the current OMO contest...

Alan Zhang - 8 years, 5 months ago

Thanks for pointing this out Alan and Eli. We do not condone such dishonest behavior.

If you notice anyone that's not acting with integrity, please do not hesitate to bring it to our attention.

Calvin Lin Staff - 8 years, 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$