A polygon has an angle that measures 77° when the polygon is rotated 90°, What will be the measurement of the angle

When a polygon is rotated 90°, each angle in the polygon increases by 90°.

Thus, if an angle in the polygon measures 77°, when the polygon is rotated 90°, the new measurement of the angle will be 77° + 90° = <<77+90=167>>167°. Answer: \boxed{167}.