document.write( "Question 538523: Hi,
\n" ); document.write( "I am not sure how to find formula to answer the question below: Help!\r
\n" ); document.write( "\n" ); 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.
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Algebra.Com's Answer #353191 by Mathpassionate(25)\"\" \"About 
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
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\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
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\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
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\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
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