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OG version 11, Word Problem question 380

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Jennif102
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OG version 11, Word Problem question 380 [#permalink] New post   19 Oct 2005, 12:33
Could someone please explain to me question 380 on pg. 126 in the Official Guide? I have no idea how in the world they get 70 degrees for the corresponding arc to the angle that is 35 degrees.
It's driving me nuts! Thx in advance



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Re: OG version 11, Word Problem question 380 [#permalink] New post   19 Oct 2005, 12:42
I'm having trouble with that one too. Thanks for bringing it up. The reference you made is from OG version 10. It is 206 on p. 180 in OG 11. It has to do w/ the concept that "Minor arcs always have twice the measure of their inscribed angles". I think I'm as confused as you are on this one.
Could someone please elaborate on this rule and explain the solution.

Thanks
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Re: OG version 11, Word Problem question 380 [#permalink] New post   19 Oct 2005, 12:47
Could you post question and diagram. I don't have the book in front of me, but I think I know which question you are talking about.
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Re: OG version 11, Word Problem question 380 [#permalink] New post   19 Oct 2005, 12:50
I think it's the question discussed here:

https://www.gmatclub.com/phpbb/viewtopic.php?t=20746
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Re: OG version 11, Word Problem question 380 [#permalink] New post   19 Oct 2005, 12:56
Jennif102 wrote:
Could someone please explain to me question 380 on pg. 126 in the Official Guide? I have no idea how in the world they get 70 degrees for the corresponding arc to the angle that is 35 degrees.
It's driving me nuts! Thx in advance



Jenny real simple. Refer to the crudely drawn diagram below. :roll:

Rembember that any triangle that is inscribed in a circle is a right triangle (has one 90 degree angle). Thus if you draw out an inscribed triangle and split it in half (meaning draw another radius to form another triangle) you have 2 isoceles triangles. From there you can see why 70 must be the degree measure. It's useful to remember that a vertice inside a vertice in an inscribed triangle is always 2x the value of the outside vertice. when given problems like these, it's useful to draw extra lines to fill in the gaps. hope this helps you jenni.
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Re: OG version 11, Word Problem question 380 [#permalink] New post   19 Oct 2005, 14:50
It really would have been nice if the official guide had explained a bit more than "Since this angle is 35, this arc is 70"



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Re: OG version 11, Word Problem question 380 [#permalink]
19 Oct 2005, 14:50
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