document.write( "Question 267902: I'm hopeless !
\n" ); document.write( "In a triangle, the largest angle is 100 degrees greater than the smallest angle. The largest angle is three times as large as the third angle. What is the measure of each angle?
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Algebra.Com's Answer #196519 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I don't think you are hopeless at all, how about a step-by-step method here?
\n" ); document.write( "Let x = the largest angle
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\n" ); document.write( "\"the largest angle is 100 degrees greater than the smallest angle.\"
\n" ); document.write( "(x-100) = the smallest angle
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\n" ); document.write( "\"The largest angle is three times as large as the third angle.\"
\n" ); document.write( "\"1%2F3\"x = the 3rd angle\r
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\n" ); document.write( "Now we have an expression for all 3 angles using x
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\n" ); document.write( "What is the measure of each angle?
\n" ); document.write( "I'm sure you know that a triangle has a total of 180 degrees
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\n" ); document.write( "Large + small + 3rd angle = 180
\n" ); document.write( "x + (x-100) + \"1%2F3\"x = 180
\n" ); document.write( "2x + \"1%2F3\"x - 100 = 180
\n" ); document.write( "2x + \"1%2F3\"x = 180 + 100
\n" ); document.write( "2x + \"1%2F3\"x = 280
\n" ); document.write( "Multiply by 3 to get rid of the denominator, results
\n" ); document.write( "3(2x) + x = 3(280)
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\n" ); document.write( "6x + x = 840
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\n" ); document.write( "7x = 840
\n" ); document.write( "x = \"840%2F7\"
\n" ); document.write( "x = 120 degrees is the largest angle
\n" ); document.write( "then
\n" ); document.write( "\"1%2F3\" * 120 = 40 degrees is the 3rd angle
\n" ); document.write( "and
\n" ); document.write( "120 - 100 = 20 degrees is the smallest angle
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\n" ); document.write( "Check our answers
\n" ); document.write( "120 + 40 + 20 = 180 degrees
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\n" ); document.write( "Hope this relieves you of that hopeless feeling!!
\n" ); document.write( "If you have any questions about this, you can email me. ankor@att.net
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