Answer:
The correct option is C.
Step-by-step explanation:
The sum of interior angles of any polygon is defined as
[tex]S=(n-2)\times 180^{\circ}[/tex]
Where n is number of vertices of polygon.
From the given figure it is noticed that the number of vertices is 6. So, the sum of interior angles is
[tex]S=(6-2)\times 180^{\circ}=720^{\circ}[/tex]
One exterior angle of 130 degree is given in the figure. So, the interior angle on that vertex is
[tex]360-130=230[/tex]
Now, add all the interior angles.
[tex]S=50+100+120+A+110+230[/tex]
[tex]S=A+610[/tex]
Since the sum of interior angles is 720, therefore
[tex]720=A+610[/tex]
Subtract 610 from both sides.
[tex]720-610=A+610-610[/tex]
[tex]A=110[/tex]
Therefore option C is correct.
