On January $1,$ Eagle Corporation $($a calendar year taxpayer$)$ has accumulated E & P of $$300,000.$ During the year, Eagle incurs a net loss of $$420,000$ from operations that accrues ratably. On June $30,$ Eagle distributes $$180,000$ to Libby, its sole shareholder, who has a basis in her stock of $$112,500.$ How much of the $$180,000$ is a dividend to Libby?

a$.$ $$90,000$

b$.$ $$0$

c$.$ $$112,500$

d$.$ $$180,000$