A router learns the same route via OSPF and via EIGRP. What administrative distance will the installed route have?

When a router learns the same destination network via multiple routing protocols, it uses Administrative Distance (AD) to determine which route to install in the routing table. The route with the lowest AD is preferred. EIGRP (internal) has an AD of 90, while OSPF has an AD of 110. Since 90 is lower than 110, the EIGRP-learned route will be installed in the routing table, and thus the installed route will have an administrative distance of 90. Options 20 (external EIGRP) and 115 (IS-IS) are incorrect because they represent different protocols or EIGRP route types not specified as the primary learning source in this scenario.