What is the angle measurement determined by the red piece

Notice that the sum of the angles adds up to 360°, therefore, we can set the following equation:
[tex]x^{\circ}+100^{\circ}+80^{\circ}=360^{\circ}.[/tex]Solving the above equation for x, we get:
[tex]x^{\circ}=360^{\circ}-100^{\circ}-80^{\circ}.[/tex]Finally, we get:
[tex]x^{\circ}=180^{\circ}.[/tex]