document.write( "Question 505668: an angle's measure is 5 degrees less than 3 times the measure of its supplement. Find the measure of the angle and its supplement?
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Algebra.Com's Answer #339935 by Leaf W.(135)![]() ![]() You can put this solution on YOUR website! *x = supplement of \"an angle\" \n" ); document.write( "*3x = 3 times the measure of the supplement \n" ); document.write( "*3x - 5 = 5 degrees less than 3 times the measure of its supplement = \"an angle\" itself \n" ); document.write( "*since supplementary angles are angles that add up to 180 degrees, the sum of the measures of \"an angle\" and its supplement must be 180; with x as the supplement and 3x - 5 as \"an angle,\" the equation would be (3x - 5) + x = 180, which is the same as 3x - 5 + x = 180 \n" ); document.write( "*add up the like terms (x's): 4x - 5 = 180 \n" ); document.write( "*add 5 to both sides: 4x = 185 \n" ); document.write( "*divide both sides by 4: x = 46.25 \n" ); document.write( "*since x is the supplement, THE SUPPLEMENT IS EQUAL TO 46.25 DEGREES \n" ); document.write( "*plug this value for x into the expression for the angle, 3x - 5: 3(46.25) - 5 \n" ); document.write( "*multiply 3 and 46.25: 138.75 - 5 \n" ); document.write( "*subtract 5 from 138.75: 133.75 \n" ); document.write( "*therefore, THE ANGLE IS EQUAL TO 133.75 DEGREES \n" ); document.write( "Hope this helps! Good luck! =) \n" ); document.write( " |