ANSWER
120°
EXPLANATION
The sum of the measures of all the interior angles of a polygon with n sides is (n - 2)*180. So, for a pentagon, the sum of the measures of the interior angles is 540°.
In this pentagon, we know that there are two angles whose measures are 68°, another two angles whose measures are 142° and we have to find the measure of the last interior angle, x.
If we know that the sum of the interior angles is 540°, we can write an equation for x,
[tex]68+68+142+142+x=540[/tex]Combine like terms,
[tex]420+x=540[/tex]And subtract 420 from both sides,
[tex]\begin{gathered} 420-420+x=540-420 \\ \\ x=120 \end{gathered}[/tex]Hence, the measure of the remaining angle is 120°.
