Answer: The measure of fourteenth angle is 120°.
Step-by-step explanation:
Since we have given that
Total number of angles in 14 gon = 14
Sum of measures of 13 angles = 2040°
As we know that sum of all angles in 14 gon would be
[tex](14-2)\times 180^\circ\\\\=12\times 180^\circ\\\\=2160^\circ[/tex]
So, the measure of fourteenth angle would be
[tex]\sum_{x=1}^{13}+x_{14}=2160^\circ\\\\2040^\circ+x_{14}^\circ=2160^\circ\\\\x_{14}^\circ=2160-2040\\\\x_{14}^\circ=120^\circ[/tex]
Hence, the measure of fourteenth angle is 120°.
