Question

What does interior angle A of the polygon in the figure equal?

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

The sum of interior angles of any polygon is defined as

$S=(n-2)\times 180^{\circ}$

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

$S=(6-2)\times 180^{\circ}=720^{\circ}$

One exterior angle of 130 degree is given in the figure. So, the interior angle on that vertex is

$360-130=230$

Now, add all the interior angles.

$S=50+100+120+A+110+230$

$S=A+610$

Since the sum of interior angles is 720, therefore

$720=A+610$

Subtract 610 from both sides.

$720-610=A+610-610$

$A=110$

Therefore option C is correct.

Answer 2

C.110 hopefully that's the right answer