Generally - Angels aren't really a problem for requiem sharks - such as the Blacktip Reefs - But Angels are a problem for small benthic species such as the Bamboo sharks.
Also while a 10,000 tank is nice - it's still ultimately not large enough for an adult Blacktip Reef to stay in for it's entire life. Adult Blacktip Reefs reach about 5.25-6' (approximately 1.6-1.8 meters) in length, and need a lagoon/pool/pond that is at least 16,000 gallons(36' long x 16' wide x 4' deep) to 21,000(39' long, x 18' wide x 4.5' deep).
Actually in captivity and with proper conditions these beautiful sharks reach a length of about 4 feet. (This is info from people who actually own them.)