Parts of both Missouri and Illinois satisfy both of those criteria, though there are also parts of both states that are either not due east of any point in Kansas or not due north of any point in Arkansas.
The portion of Illinois that meets the description is considerably smaller than the portion of Missouri that does.
The answer is Kansas. Kansas is bordered by Nebraska on the north; Missouri on the east; Oklahoma on the south; and Colorado on the west.
Kansas
Kansas is due east of Colorado and due north of Oklahoma. Topeka is the capital city in Kansas.
The state of Missouri borders Kansas to the east, and its capital is Jefferson City.
Topeka is due West of Kansas City.
Yes, Nebraska shares a border with Missouri, which is to Nebraska's southeast, due east of Kansas. The other state east of Nebraska is Iowa, which is north of Missouri.
Missouri
Kansas
Kansas
Nebraska is obviously due north of Kansas
Kansas.
Kansas.