document.write( "Question 87623: Please i need help on this question:\r
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document.write( " If one angle of a triangle is tree times a second angle and the third angle is 20 degrees more than the second angle, the SECOND ANGLE is..... \n" );
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Algebra.Com's Answer #63526 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the angles be A, B, and C. \n" ); document.write( "From the problem description, you can write: \n" ); document.write( "A = 3B \"One angle is 3 times a second.\" \n" ); document.write( "C = B+20 \"The third angle is 20 degrees more than the second angle.\" \n" ); document.write( "So, we are looking for the measure of angle B, the second angle. \n" ); document.write( "You already are aware that, in any triangle, the sum of the angles is 180 degrees, so you can write: \n" ); document.write( "A + B + C = 180 Now substitute for A and C their equivalent values from above: \n" ); document.write( "(3B) + B + (B+20) = 180 Simplify and solve for B. \n" ); document.write( "5B + 20 = 180 Subtract 20 from both sides. \n" ); document.write( "5B = 160 Divide both sides by 5. \n" ); document.write( "B = 32 degrees.\r \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "A+B+C = 180 \n" ); document.write( "3(32)+32+(32+20) = 180 \n" ); document.write( "96+32+52 = 180 \n" ); document.write( "180 = 180 Check! \n" ); document.write( " |