document.write( "Question 1126565: Two angles are supplementary if their sum is 180°. The larger angle measures six degrees more than twice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. \n" ); document.write( "

Algebra.Com's Answer #742879 by sbro7568(4) $\"\"$ $\"About$

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If the larger angle is six degrees more than twice the measure of the smaller, and the smaller angle is represented by x, the equation for the larger angle must be $\"2x%2B6\"$ .\r
\n" ); document.write( "\n" ); document.write( "If the two angles add to 180°, we can create the following equation: $\"x%2B%282x%2B6%29=180\"$ . Now, we can simplify the equation to $\"3x%2B6=180\"$ . We then subtract 6 from both sides to get $\"3x=174\"$ , then divide both sides by 3 to get $\"x=58\"$ . Since x represents the measure of the smaller angle, the angle must equal 58°. \r
\n" ); document.write( "\n" ); document.write( "Now, to get the measure of the larger angle, we can plug the measure of x into the first equation we created, to get $\"%282%2A58%29%2B6\"$ . When we simplify this, we get 122°. \r
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\n" ); document.write( "tl;dr:
\n" ); document.write( "smaller angle = 58°
\n" ); document.write( "larger angle = 122° \n" ); document.write( "

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