document.write( "Question 328067: Find the measure of the indicated exterior angle.
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document.write( "angle x= (6n - 20)°, angle y = (4n + 47)°, angle z = (170 - n)° \r
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document.write( "The answers to chose from are:
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document.write( "A) 55°
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document.write( "B) 157°
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document.write( "C) 167°
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document.write( "D) 145° \r
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Algebra.Com's Answer #235020 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! The exterior angle theorem is a theorem in elementary geometry which states that the exterior angle of a triangle is equal to the sum of the two remote interior angles.\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "Since angle z is the exterior angle, we have the folowing equation: z = x + y.\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "170 - n = 6n - 20 + 4n + 47 \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "170 - n = 10n + 27 \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "170 - 27 = 10n + n \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "143 = 11n \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "143/11 = n \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "13 = n \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "z = 170 - n \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "z = 170 - 13 \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "z = 157 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "The answer is choice B. \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |