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# help polygon

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Five angles of a hexagon measure 119°, 129°, 140°, 129°, and 95°. What is the measure of the sixth angle?

Aug 2, 2021

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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?

$$\begin{array}{|rcll|} \hline \small{119^\circ+129^\circ+140^\circ+129^\circ+95^\circ + x} &=& 4*180^\circ \\ x &=& \small{4*180^\circ -119^\circ+129^\circ+140^\circ+129^\circ+95^\circ} \\ x &=& 108^\circ \\ \hline \end{array}$$

Aug 2, 2021