document.write( "Question 538523: Hi,
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document.write( "I am not sure how to find formula to answer the question below: Help!\r
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document.write( "Angles of a triangle. The second angle of a triangular garden is four times as large as the first. The third angle is 45° less than the sum of the other two angles. Find the measure of each angle. \n" );
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Algebra.Com's Answer #353191 by Mathpassionate(25)![]() ![]() You can put this solution on YOUR website! Assume that:\r \n" ); document.write( "\n" ); document.write( "1st Angle = A \n" ); document.write( "2nd Angle = B \n" ); document.write( "3rd Angle = C\r \n" ); document.write( "\n" ); document.write( "The information provided is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The second angle of a triangular garden is four times as large as the first.\r \n" ); document.write( "\n" ); document.write( "So, B = 4A\r \n" ); document.write( "\n" ); document.write( "The third angle is 45° less than the sum of the other two angles.\r \n" ); document.write( "\n" ); document.write( "So, C = A+B - 45\r \n" ); document.write( "\n" ); document.write( "There is a formula for triangles:\r \n" ); document.write( "\n" ); document.write( "A+B+C = 180\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, we replace the previous two formulas (B=4A) and C=A+B-45 into A+B+C = 180.\r \n" ); document.write( "\n" ); document.write( "Then,\r \n" ); document.write( "\n" ); document.write( "A+B+C=180 \n" ); document.write( "A+(4A)+(A+B-45)=180\r \n" ); document.write( "\n" ); document.write( "A+(4A)+A+4A-45=180 \n" ); document.write( "5A+5A =180 + 45 \n" ); document.write( "10A = 225\r \n" ); document.write( "\n" ); document.write( "A= 225/10\r \n" ); document.write( "\n" ); document.write( "A = 22.5\r \n" ); document.write( "\n" ); document.write( "B = 4A \n" ); document.write( "B=4*(22.5) \n" ); document.write( "B= 90\r \n" ); document.write( "\n" ); document.write( "C= A+B-45 \n" ); document.write( "C= 22.5 + 90 -45 \n" ); document.write( "C= 67.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the answer of \"Find the measure of each angle\" is:\r \n" ); document.write( "\n" ); document.write( "A = 22.5° \n" ); document.write( "B= 90° \n" ); document.write( "C= 67.5°\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |