Final answer:
The verb that correctly completes the sentence is haya.
Step-by-step explanation:
The correct verb that completes the sentence is haya. The phrase Me entristece que haya tanta ignorancia acerca de las tradiciones locales translates to It saddens me that there is so much ignorance about local traditions. In this sentence, the subjunctive form of the verb haber is used to express doubt or uncertainty.
Learn more about Verb conjugation in Spanish