Texas Constitution
The Texas Constitution allows the state governor to veto bills, but lets the state legislature override a veto with a two-thirds vote of both the House and Senate.
In fact, though, a governor's veto in Texas can almost never be overridden. Why? Timing. Most vetoes happen after the Legislative session has ended.
In 2009, the House approved an amendment to the Texas Constitution, H.J.R. 29, which would have allowed the legislature to call itself into special session briefly to consider overriding gubernatorial vetoes. This report by the House Research Organization explains how it would work.
Imagine you are a state representative, speaking to a group of your constituents at a town hall meeting. You are asked whether you would support this idea. Post a paragraph, explaining to your constituents what you think about this proposed amendment, and why you would support or oppose it.