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Sliva [168]
3 years ago
8

The sum of the exterior angles of a polygon is always 180 degrees. True or False

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

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, 4 \times 90^{\circ} = 360°

Therefore, the sum of the exterior angle of a square is 360°

Bezzdna [24]3 years ago
5 0
False. it said ,"The sum of the exterior angles of a polygon is always 360 degrees<span>. ... By an inductive proof, this is </span>true<span> for all </span>polygons." that is what i think.
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