## Elementary Algebra

Since the two angles are supplementary, their sum is $180$ degrees. Let the smaller angle be $x$. Since the larger angle is $15$ degrees less than twice the smaller angle, the expression for the larger angle is $(2x-15)$. Since the sum of the two angles is 180, we obtain: $x+(2x-15)=180$ $x+2x-15=180$ $3x-15=180$ $3x=180+15$ $3x=195$ $x=\frac{195}{3}=65$ Therefore, the smaller angle is $65$ degrees while the larger angle is $(2x-15)=2(65)-15=130-15=115$ degrees.