document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105662>Question 105662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the measure of one angle of a triangle is equal to the sum of the measures of the other two angles, then the triangle is always:<BR>\n" );
document.write( "(1)acute<BR>\n" );
document.write( "(2)obtuse<BR>\n" );
document.write( "(3)isoceles<BR>\n" );
document.write( "(4)right<BR>\n" );
document.write( "EXPLAIN! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77008 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=77008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a triangle the measures of the three angles totals to 180 degrees. Suppose we have<BR>\n" );
document.write( "the measures of angles A, B, and C in a triangle and identify these measures as mA, mB, and mC.<BR>\n" );
document.write( "Since the total of these three measures is 180 degrees for this triangle, we can write the equation:<BR>\n" );
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document.write( "mA + mB + mC = 180<BR>\n" );
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document.write( "Now in accordance with the problem we are told that the measure of one of the angles,<BR>\n" );
document.write( "say mA, is equal to the sum of the measures of the other two angles ... mB + mC. In equation<BR>\n" );
document.write( "form this is:<BR>\n" );
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document.write( "mA = mB + mC<BR>\n" );
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document.write( "So for mB + mC in the equation for all three angles totaling 180 we can substitute<BR>\n" );
document.write( "mA because mA is equal to mB + mC.  <BR>\n" );
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document.write( "Start with:<BR>\n" );
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document.write( "mA + mB + mC = 180<BR>\n" );
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document.write( "In place of mB + mC substitute mA to get:<BR>\n" );
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document.write( "mA + mA = 180<BR>\n" );
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document.write( "Add the terms on the left side to get 2mA and the equation becomes:<BR>\n" );
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document.write( "2mA = 180<BR>\n" );
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document.write( "Solve for mA by dividing both sides by 2 to reduce the equation to:<BR>\n" );
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document.write( "mA = 180/2 = 90 degrees<BR>\n" );
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document.write( "Since mA = 90 degrees, the triangle has a right angle and is therefore a right triangle.<BR>\n" );
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document.write( "The correct answer from the list of choices is (4) and the explanation is as discussed<BR>\n" );
document.write( "above.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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