Question

The sum of the outer angles of polygon is equal to the sum of inner angles.How many sides does it have?​

Answer 1

Answer:

The sum of the internal angle and the external angle on the same vertex is 180°. The sum of all the internal angles of a simple polygon is 180(n–2)° where n is the number of sides

Answer 2

Answer:

Hi there.. Here's the answer for your question.

Step-by-step explanation:

Sum of interior angles of a polygon =(n−2)∗180

∘

Sum of exterior angles of a regular polygon =360

∘

2(n−2)∗180

∘

=360

∘

n−2=1⇒n=3

(ii) 360

∘

=

2

1

(n−2)180

∘

n−2=4⇒n=6

(iii)(n−2)∗180

∘

=360

∘

n−2=2⇒n=4

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