Answer if you are genius

1.	Answer if you are genius
Answer» QUESTION : How many sides does a regular polygon have whose interior and exterior angles are in the ratio 2 : 1 ? (1) 3 (2) 5 (3) 6 (4) 12 Answer: The Number of sides are 6. Step-by-step explanation: Given : Ratio of exterior and interior angles = 2 : 1 To find : The sides of the polygon Solution : Let the angles be - Interior angle as 2y Exterior angle as y We are familiar with the fact that SUM of interior and exterior angles is 180° ⇒ 2y + y = 180 ⇒ 3Y = 180 ⇒ y = 180/3 ⇒ y = 60 Exterior angle = 60° $\rule{300}{1.5}$ Number of sides - ★ Exterior angle = 360/N (where n is the Number of sides) ⇒ 60 = 360/n ⇒ n = 360/60 ⇒ n = 6 Side = 6 $\therefore$ The Number of sides are 6.

Answer»

QUESTION :

How many sides does a regular polygon have whose interior and exterior angles are in the ratio 2 : 1 ?

(1) 3

(2) 5

(3) 6

(4) 12

Answer:

The Number of sides are 6.

Step-by-step explanation:

Given :

Ratio of exterior and interior angles = 2 : 1

To find :

The sides of the polygon

Solution :

Let the angles be -

We are familiar with the fact that SUM of interior and exterior angles is 180°

⇒ 2y + y = 180

⇒ 3Y = 180

⇒ y = 180/3

⇒ y = 60

Exterior angle = 60°

$\rule{300}{1.5}$

Number of sides -

★ Exterior angle = 360/N (where n is the Number of sides)

⇒ 60 = 360/n

⇒ n = 360/60

⇒ n = 6

Side = 6

$\therefore$ The Number of sides are 6.

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