Final answer:
To determine ∠ABC, we can use the property that the sum of the angles in a triangle is always 180 degrees. Setting up an equation and substituting the given angles allows us to solve for ∠ABC. However, there seems to be an error in the given information as the result is a negative angle.
Step-by-step explanation:
To determine the measure of angle ABC, we need to use the properties of angles in a triangle. The sum of the angles in a triangle is always 180 degrees. So, we can set up an equation: ∠ABC + ∠CDE + ∠EFA = 180. Now we can substitute the given angles into the equation: ∠ABC + 130° + 150° = 180°. Simplifying the equation gives ∠ABC + 280° = 180°. Subtracting 280° from both sides gives ∠ABC = -100°. However, angles cannot be negative, so there must be an error in the given information.