Question

In a regular polygon its inner angle is three times its outer angle a) what is the sum one inner angle and outer angle at a vertex b)how many sides does it have​
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Answer 1

Step-by-step explanation:

Now, an inner angle and an outer angle lies on the same straight line. That's why, the sum of any inner angle and outer angle of any polygon will be 180°. Hence, the sum of the internal angle and external angle of a polygon is 180° and the number of sides of the given polygon is 8

Answer 2

Answer:

The sum of interior angles of a regular polygon is three the sum of its exterior angles.

Sum of all interior angles of a regular polygon = 180

o

(n−2) where n = number of sides of polygon

Sum of all exterior angle of a regular polygon = 360

o

According to question,

180

o

(n−2)=3×360

o

=>(n−2)=6

=>n=8

Number of sides of the polygon = 8

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Step-by-step explanation:

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