Readings & Meanings:
He cheerfully took up that impossible request.
Her illness is getting better.
I missed the 7:00 express.
Although his face doesn't show it, he's a pleasant and happy person.
With a reading like こころよい, you'd think 心 would be in there. Well it is!
On the left there is the Kokoro radical, in 心's vertically-squished form.
The phonetic is 夬, which shows a hand scooping out a a hole.
A heart (心) with all the bad stuff scooped (夬) out would certainly be pleasant.