document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159927>Question 1159927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the diagram below, sécanos PT and PU have been drawn from exterior point P such that the four arcs intercepted have the following ratio of measurements: mRS:mST:mTU:mUR=1:4:4:3<BR>\n" );
document.write( "a)What are the measures of each arc?<BR>\n" );
document.write( "b)What is the measure of <BR>\n" );
document.write( "c)Draw in UT. What is the measure of <PUT?<BR>\n" );
document.write( "https://docs.google.com/document/d/15A1pLLRT4zMND-r6TmK0rvFKGFdbKkNtvs6tX4vQZjs/edit<BR>\n" );
document.write( "Thank you very much and stay safe and have fun. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783065 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The four arcs together make the whole 360 degrees of the circle.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4x%2B4x%2B3x+=+360 ALIGN=MIDDLE  ALT=\"x%2B4x%2B4x%2B3x+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+360 ALIGN=MIDDLE  ALT=\"12x+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30 ALIGN=MIDDLE  ALT=\"x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(a) The measures of the arcs are 30, 120, 120, and 90 degrees.<br><BR>\n" );
document.write( "(b) The measure of angle P is half the difference between the measures of the two intercepted arcs: (1/2)(120-30) = 45 degrees.<br><BR>\n" );
document.write( "(c) Angle PUT intercepts arc RST, which has measure 30+120 = 150 degrees.  The measure of the angle is half the measure of the intercepted arc: 150/2 = 75 degrees.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );