document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113624>Question 1113624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me find the measure of the angles of this circle: https://imgur.com/TeYcWwu\r<BR>\n" );
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document.write( "I only need the measures angle C, angle B, angle BSD, angle CSE, angle E, the measure of Arc BC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728690 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's a reference you should find useful.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://mathbitsnotebook.com/\" target = \"_blank\">http://mathbitsnotebook.com/</a>\r<BR>\n" );
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document.write( "the particular section you would be interested in is:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://mathbitsnotebook.com/Geometry/Circles/CRAngles.html\" target = \"_blank\">http://mathbitsnotebook.com/Geometry/Circles/CRAngles.html</a>\r<BR>\n" );
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document.write( "here's my completed picture of your diagram.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/040102.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( "you can see from the diagram that angle C and angle B are both equal to 26 degrees.\r<BR>\n" );
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document.write( "this is because both are inscribed angles to arc ED which is equal to 52 degrees.\r<BR>\n" );
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document.write( "those angles are therefore 1/2 * 52 = 26 degrees.\r<BR>\n" );
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document.write( "you can also see from the diagram that angles E and angle D are each 57 degrees.\r<BR>\n" );
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document.write( "this is because both are inscribed angles to arc CB which is equal to 114 degrees.\r<BR>\n" );
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document.write( "1/2 * 114 = 57 degrees.\r<BR>\n" );
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document.write( "how did we get arc BC = 114 degrees?\r<BR>\n" );
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document.write( "angle D is 57 degrees and is an inscribed angle of arc BC.\r<BR>\n" );
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document.write( "this makes angle D equal to 1/2 the measure of arc BC.\r<BR>\n" );
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document.write( "you get 57 = 1/2 * BC.\r<BR>\n" );
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document.write( "solve for BC to get BC = 114 degrees.\r<BR>\n" );
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document.write( "angle BSD is equal to 97 degrees.\r<BR>\n" );
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document.write( "angle CSE is also equal to 97 degrees because it is a vertical angle to angle BSD.\r<BR>\n" );
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document.write( "why is angle BSD equal to 97 degrees/\r<BR>\n" );
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document.write( "because it is part of triangle BSD and the sum of the angle of a triangle is always equal to 180 degrees.\r<BR>\n" );
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document.write( "angles B and D total 83 degrees.\r<BR>\n" );
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document.write( "97 + 83 = 180 degrees.\r<BR>\n" );
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document.write( "angle BSD has to be equal to 97 degrees.\r<BR>\n" );
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document.write( "i think that answers all your questions.\r<BR>\n" );
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document.write( "you said:\r<BR>\n" );
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document.write( "I only need the measures angle C, angle B, angle BSD, angle CSE, angle E, the measure of Arc BC\r<BR>\n" );
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document.write( "angle C is equal to 26 degrees, angle B is equal to 26 degrees, angle BSD is equal to 97 degrees, angle CSE is equal to 97 degrees, angle E is equal to 57 degrees, the measure of arc BC is equal to 114 degrees.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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