SAT math Question [Angles]

<p><a href="http://www.majortests.com/sat/testpics/p012-6.gif%5B/url%5D"&gt;http://www.majortests.com/sat/testpics/p012-6.gif&lt;/a&gt;&lt;/p>

<p>Which of the following pairs of angles must be equal?
A. a and e only
B. a and e, and c and d only
C. c and d only
D. d and e only
E. c and d and d and e only</p>

<p>I totally do not get this. I understand tis something to do with the lines being tangent, but i don't see how i can go about using that info to find the answer.</p>

<p>Help!</p>

<p>Well I looked into this problem and was finding something like this:</p>

<p>a+b+c=180
b+d+e=180
so, b=180-d-e</p>

<p>plugging it in:
a+180-d-e+c=180
a+c=d+e
so, a-e=d-c</p>

<p>I don't know if I'm going the right way, but I have a feeling that that's the way to start it.</p>

<p>Ah, this is a nice problem. Think back to geometry.
m<c=1/2<em>ARC be
m<d= 1/2</em>ARC be
Therefore by transitivity, m<c=m<d. The same goes for m<a and m<e.</p>

<p>Ah i get it now. Thanks guys!</p>

<p>Dude, who misses an SAT Math question?
I have never missed one in my entire life..</p>

<p>Haha - Just kidding man
(in response to a comment that Quix left on my post ;])</p>