Question

in a polygon with all angles equal, one outer angle is twice an inner angle​

1)How much is each of it's angles?
2)How many sides does it have?

Answer 1

1) each angle equals 60°

2)it has 3 sides .hence an equilateral triangle

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Answer 2

Answer:

no. of side = 3

each angle = 60°

Let x be the inner angle.

outer angle =2x

interior angle sum = (n-2)180

OR n×x

(n-2)180=nx..(1)

exterior angle sum = 360°

OR

2x×n

2nx=360

nx = 180

substitute nx=180 in (1)

(n-2)180= 180

n-2=1

n=3

no. of side = 3

nx =180

3x =180

x=60°

each interior angle = 60°