"entangled in a" is correct and can be used in written English.
For example, you might write: "She was entangled in a difficult situation with no easy way out."
Mr Roh's family is entangled in a corruption investigation.
The first two questions are entangled in a fierce debate.
But it got entangled in a bid to reform Mexico's electoral system.
When she moved to Cairo she was entangled in a bitter divorce from her second husband.
Gaziantep's businessmen do not want to get entangled in a fight they don't see as theirs.
His life of chill is ruined when he's entangled in a kidnapping.
Their church, like most other white American churches, was entangled in a deeply entrenched national sin.
A whale entangled in a net can take months to die, he said.
Instead she suggested Australia and Japan's attendance had been entangled in a Russian-US power play.
Like his hero Pushkin, he became entangled in a duel, and was killed, in 1841.
Mr. Campbell's bill became entangled in a furious debate over abortion rights.
