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.
Answer by sbro7568(4)   (Show Source):
You can put this solution on YOUR website! 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  .
If the two angles add to 180°, we can create the following equation:  . Now, we can simplify the equation to  . We then subtract 6 from both sides to get  , then divide both sides by 3 to get  . Since x represents the measure of the smaller angle, the angle must equal 58°.
Now, to get the measure of the larger angle, we can plug the measure of x into the first equation we created, to get  . When we simplify this, we get 122°.
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tl;dr:
smaller angle = 58°
larger angle = 122°
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