<PRE><B>Question 560489</B>
&lt;font face=&quot;Times New Roman&quot; size=&quot;+2&quot;&gt;


I can answer questions about &lt;i&gt;&lt;b&gt;angles&lt;/b&gt;&lt;/i&gt;, but for questions about &lt;i&gt;&lt;b&gt;angels&lt;/b&gt;&lt;/i&gt;, you need to consult your favorite clergyman.


Let *[tex \Large x] represent the measure of the desired angle in degrees.  Then the measure of the complement of *[tex \Large x] is *[tex \Large 90\ -\ x].  Four times the complement is *[tex \Large 4(90\ -\ x)]  and 15 degrees less than that is *[tex \Large 4(90\ -\ x)\ -\ 15].  And since we know that 15 degrees less than four times the complement IS the angle:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 4(90\ -\ x)\ -\ 15]


Solve for  *[tex \Large x]. 


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
&lt;div style=&quot;text-align:center&quot;&gt;&lt;a href=&quot;http://outcampaign.org/&quot; target=&quot;_blank&quot;&gt;&lt;img src=&quot;http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png&quot; border=&quot;0&quot; alt=&quot;The Out Campaign: Scarlet Letter of Atheism&quot; width=&quot;143&quot; height=&quot;122&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;/font&gt;</PRE>