The circle shown below has AB and BC as its tangents:

If the measure of arc AC is 160°, what is the measure of angle ABC?

80°

40°

60°

20°

Question

The circle shown below has AB and BC as its tangents:



If the measure of arc AC is 160°, what is the measure of angle ABC?

 80°

 40°

 60°

 20°

anonymous · Answer

attachment

anonymous · Answer

@hughfuve @iambatman @IMStuck

imstuck · Answer

Are they saying that arc AC is the smaller arc or the larger one?  It's pertinent info.

imstuck · Answer

That's ok.  You have choices above.  Let me figure out from doing it both ways which one is which.  Just give me literally one minute to figure it out.  Easy stuff....don't worry.

anonymous · Answer

No problem, thank you. :) I am stuck between C or D. So take your time. :)

imstuck · Answer

Ok, I got it.  Arc AC is the smaller one like this|dw:1403489366747:dw|

imstuck · Answer

What is the measure around the outside of the circle?

anonymous · Answer

360 degrees I believe?

imstuck · Answer

Yes, that's right. So if that one arc measures 160, what does the other one measure, by subtraction from 360?

imstuck · Answer

Thanks for the medal, btw.

anonymous · Answer

200 and no problem! :)

imstuck · Answer

Ok, now here's the formula for that.|dw:1403489567573:dw|

anonymous · Answer

give me a second, I'll do that!

anonymous · Answer

yay, 20! Thank you very much. (:

imstuck · Answer

The general formula is this|dw:1403489677188:dw|

imstuck · Answer

And you're welcome!

anonymous · Answer

Oh! I should've known this! Well, thanks for letting me know of this formula! I will be sure to ask your for help soon. (: