Five angles of a hexagon measure 119°, 129°, 140°, 129°, and 95°. What is the measure of the sixth angle?
Five angles of a hexagon measure
\(119^\circ,~ 129^\circ,~ 140^\circ,~ 129^\circ,~\) and \(95^\circ\).
What is the measure of the sixth angle?
\(\begin{array}{|rcll|} \hline \small{119^\circ+129^\circ+140^\circ+129^\circ+95^\circ + x} &=& 4*180^\circ \\ x &=& \small{4*180^\circ -119^\circ+129^\circ+140^\circ+129^\circ+95^\circ} \\ x &=& 108^\circ \\ \hline \end{array} \)