document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754769>Question 754769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of all three angles of the triangle. Explain how you got your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459293 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=459293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of all three angles of the triangle. Explain how you got your answer.<BR>\n" );
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document.write( "The vertex angle intersects an arc of 180 degrees.<BR>\n" );
document.write( "So it is a right angle.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The sum of the other 2 angles is 90 degrees.<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x + 2x-9 = 90<BR>\n" );
document.write( "3x = 99<BR>\n" );
document.write( "x = 33 degrees<BR>\n" );
document.write( "2x-9 = 57 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );