Final answer:
The measure of ∠ZEBACD is 155°, found by adding angle DBC's measure of 130° and half of the bisected ∠ABD, which is 25°.
Step-by-step explanation:
To determine the measure of m∠ZEBACD, we need to understand that angle ABC is a straight angle, meaning it measures 180°. Given that mDBC = 130°, we can find the measure of angle ABD by subtracting: 180° - 130° = 50°. Since BE bisects ∠ABD, it divides it into two equal angles, thus each measuring 25°. Therefore, the measure of m∠ZEBACD is 130° (mDBC) + 25° (half of ∠ABD bisected by BE), resulting in 155°.