A convex pentagon has interior angles with measures $x+1$, $2x$, $3x$, $4x$, and $5x-1$ degrees. What is the measure of the largest angle?
The sum of the interior angles = 540°
So
(x + 1) + 2x + 3x + 4x + (5x -1) =540 simplify
x + 2x + 3x + 4x + 5x =540
15x = 540 divide both sides by 15
x =36°
Largest angle = 5 (36) -1 = 179°
