Respuesta :

Answer:

No.

Step-by-step explanation:

If it is a regular polygon then the sum of its exterior angles add up to 360 degrees. The number of sides in such a polygon  = 360 / exterior angle.

Here each exterior angle = 180-169 = 11 degrees,

Now 11 is not a factor of 360 and if we try to find the number of sides we don't get a whole number, so the answer is NO.

An interior angle 169° cannot form an regular polygon.

What is a polygon?

The polygons are the closed shape that has sides and vertices. A regular polygon has all its interior angles equal to each other.  An interior angle of a polygon is an angle formed inside the two adjacent sides of a polygon.

For the given situation,

An interior angle of the polygon = 169

The angle of the sum of all the types of interior angles is always equal to 180 degrees.

⇒ [tex]180-169=11[/tex]

Number of sides can be found by dividing the angle by 360°.

We cannot divide 360 by 11, because 11 is not the factor of 360.

Hence we can conclude that an interior angle 169° cannot form an regular polygon.

Learn more about polygons here

https://brainly.com/question/14401104

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