document.write( "Question 220958: Angle A and angle B are supplementary angles and angle A is 20 degrees less than four times angle B. Find the measure of angle A and Angle B. \n" ); document.write( "
Algebra.Com's Answer #165748 by drj(1380)\"\" \"About 
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Angle A and angle B are supplementary angles and angle A is 20 degrees less than four times angle B. Find the measure of angle A and Angle B.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles means two angles add up to 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. So, B=180-A since B is supplementary to A\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 4B=4(180-A) is four times the angle B.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. A=4(180-A)-20 since angle A is less than four times angle B.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Solving yields the following steps\r
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\n" ); document.write( "\n" ); document.write( "\"A=4%28180-A%29-20\"\r
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\n" ); document.write( "\n" ); document.write( "\"A=720-4A-20\"\r
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\n" ); document.write( "\n" ); document.write( "Adding 4A to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"A%2B4A=700-4A%2B4A\"\r
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\n" ); document.write( "\n" ); document.write( "\"5A=700\"\r
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\n" ); document.write( "\n" ); document.write( "Step 6. Divide by 5 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"5A%2F5=700%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"A=140\" then \"B=180-40=40\" and note \"140=4%2A40-20\"...true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 7. The angles are A=140 and B=40\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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