Respuesta :
false. it said ,"The sum of the exterior angles of a polygon is always 360 degrees. ... By an inductive proof, this is true for all polygons." that is what i think.
Answer:
Option B
False
Step-by-step explanation:
False, because
The sum of the exterior angles for each polygon is consistent for all types of polygons whether they are regular or irregular- no matter how many sides is always 360 degree.
for example:
Take any polygon, call it a square and show that a exterior angle of a square is 360 degree.
An exterior angle is formed by a side of the square and an extension of an adjacent side as shown below in the figure.
Let a, b, c and x are exterior angles.
We know that each interior angle in a square is equal to 90 degrees.
Interior angle + adjacent angle = 180°
90°+ x= 180°
or
x = 180°-90° = 90°
Since there are 4 exterior angles
therefore, [tex]4 \times 90^{\circ}[/tex] = 360°
Therefore, the sum of the exterior angle of a square is 360°
