Question 252080
The angles are congruent, so...
{{{5x-17 = 2x+13}}} Subtract 2x from both sides.
{{{3x-17 = 13}}} Add 17 to both sides.
{{{3x = 30}}} Divide both sides by 3.
{{{highlight(x = 10)}}} and...
{{{5x-17 = 2x+13}}} Substitute x = 10.
{{{5(10)-17 = 2(10)+13}}} Simplify.
{{{50-17 = 20+13}}}
{{{33 = 33}}}
The measure of each angle is 33 degrees.