document.write( "Question 22620: I cannot find a place that explains how to do this problem,any help would be appreciated.\r
\n" ); document.write( "\n" ); document.write( "Angles A and B are supplementary angles because their sum is 180 degrees. The measure of angle A is ten less than 4 times the measure of angle B. Find the measure of angle B?
\n" ); document.write( "1. 45 degrees
\n" ); document.write( "2. 38 degrees
\n" ); document.write( "3. 142 degrees
\n" ); document.write( "4. 36 degrees \r
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Algebra.Com's Answer #11124 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Start with A + B = 180 degrees (A means...the measure of angle A)\r
\n" ); document.write( "\n" ); document.write( "A = 4B-10 \"The measure of angle A is (=) 4 times the measure of angle B (4B) less 10 degrees (-10)\". Substitute this equation for A into the above equation for A + B = 180.\r
\n" ); document.write( "\n" ); document.write( "(4B-10) + B = 180 Simplify and solve for B
\n" ); document.write( "5B - 10 = 180 Add 10 to both sides.
\n" ); document.write( "5B = 190 Divide both sides by 5.
\n" ); document.write( "B = 38 degrees.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "A = 4(38)-10 = 152 - 10 = 142 degrees.
\n" ); document.write( " A + B = 142 + 38 = 180 degrees.\r
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