document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792097>Question 792097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I have an assignment but I don't know how to solve some of these word problems (that are algebraic equations by the way) but I already know the answers by guess and check. Okay so \"A family of Isosceles triangles has the property that the two equal angles are each 2/15 of the angle. Find the measure of all 3 angles\" so the equation I think would be 180=x(times) 2/15. the angles are 19,19, and 142 but I don't know how to show it. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479850 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=479850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two equal angles (the base angles) are each 2/15 of what angle?<BR>\n" );
document.write( "A straight angle (a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle)?<BR>\n" );
document.write( "The vertex angle of the isosceles triangle?<BR>\n" );
document.write( " <BR>\n" );
document.write( "OPTION 1:<BR>\n" );
document.write( "If each the base angles measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > as much as a straight angle, we do not even need an equation to find the measure of those angles. The measure of each base angle would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo+%2A%282%2F15%29=24%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo+%2A%282%2F15%29=24%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then, if we can call the measure of the remaining angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%5Eo%2B42%5Eo%2Bx=180%5Eo ALIGN=MIDDLE  ALT=\"42%5Eo%2B42%5Eo%2Bx=180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%5Eo%2Bx=180%5Eo ALIGN=MIDDLE  ALT=\"84%5Eo%2Bx=180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=180%5Eo-84%5Eo ALIGN=MIDDLE  ALT=\"x=180%5Eo-84%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=96%5Eo ALIGN=MIDDLE  ALT=\"x=96%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "OPTION 2:<BR>\n" );
document.write( "If each the base angles measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > as much as the vertex angle, the measures are not going to be whole numbers.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= measure of the vertex angle of the isosceles triangle (in degrees)<BR>\n" );
document.write( "  <BR>\n" );
document.write( "The summ of the measures of the angles in any triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F15%29x%2B%282%2F15%29x%2Bx=180 ALIGN=MIDDLE  ALT=\"%282%2F15%29x%2B%282%2F15%29x%2Bx=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our equation.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Simplifying and solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F15%29x%2B%282%2F15%29x%2Bx=180 ALIGN=MIDDLE  ALT=\"%282%2F15%29x%2B%282%2F15%29x%2Bx=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F15%29x%2B%282%2F15%29x%2B1%2Ax=180 ALIGN=MIDDLE  ALT=\"%282%2F15%29x%2B%282%2F15%29x%2B1%2Ax=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F15%2B2%2F15%2B1%29x=180 ALIGN=MIDDLE  ALT=\"%282%2F15%2B2%2F15%2B1%29x=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F15%2B2%2F15%2B15%2F15%29x=180 ALIGN=MIDDLE  ALT=\"%282%2F15%2B2%2F15%2B15%2F15%29x=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2B2%2B15%29%2F15%29x=180 ALIGN=MIDDLE  ALT=\"%28%282%2B2%2B15%29%2F15%29x=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819%2F15%29x=180 ALIGN=MIDDLE  ALT=\"%2819%2F15%29x=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying times 15 both sides of the equal sign, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x=180%2A15 ALIGN=MIDDLE  ALT=\"19x=180%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x=2700 ALIGN=MIDDLE  ALT=\"19x=2700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2700%2F19 ALIGN=MIDDLE  ALT=\"x=2700%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > (about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142.1%5Eo ALIGN=MIDDLE  ALT=\"142.1%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Then, each of the other two angles would measure<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F15%29%282700%2F19%29=2%2A2700%2F%2815%2A19%29=36%2F19 ALIGN=MIDDLE  ALT=\"%282%2F15%29%282700%2F19%29=2%2A2700%2F%2815%2A19%29=36%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > (about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.95%5Eo ALIGN=MIDDLE  ALT=\"18.95%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );