document.write( "Question 221389: In triangle ABC, angle A is twice as large as angle B. Angle B is 4 degrees larger than Angle C. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #166058 by drj(1380)\"\" \"About 
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In triangle ABC, angle A is twice as large as angle B. Angle B is 4 degrees larger than Angle C. Find the measure of each angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The sum of the angles in a triangle is 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let B=C+4 since Angle B is 4 degrees larger than Angle C.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let A=2B=2(C+4) since Angle A is twice as large as angle B.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then A+B+C=2(C+4)+C+4+C=180 \r
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\n" ); document.write( "\n" ); document.write( "Step 5. Simplifying equation in Step 4 yields the following steps.\r
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\n" ); document.write( "\n" ); document.write( "\"2%28C%2B4%29%2BC%2B4%2BC=2C%2B8%2B2C%2B4=180\"\r
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\n" ); document.write( "\n" ); document.write( "\"4C%2B12=180\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 12 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"4C%2B12-12=180-12\"\r
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\n" ); document.write( "\n" ); document.write( "\"4C=168\"\r
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\n" ); document.write( "\n" ); document.write( "Divide by 4 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"4C%2F4=168%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"C=42\" \"B=C%2B4=46\" and \"A=2B=2%2A46=92\"\r
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\n" ); document.write( "\n" ); document.write( "Check if A+B+C=180 or 42+46+92=180...a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: Angle A is 92 degrees, Angle B is 46 degrees and Angle C is 42 degrees.\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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