A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth.

The sum of the angle measures in a heptagon is $180(7-2) = 180(5) = 900$ degrees. Since the heptagon is regular, each angle has measure $\dfrac{900^\circ}{7} \approx \boxed{128.6^\circ}$.