Question

PLEASE HELP FAST AND EXPLAIN || Find the number of sides of a regular polygon, if the exterior angle is twice its interior angle

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer :

• Number of sides is 3

Given that :

• Exterior angle is twice its interior angle

To find :

• Number of sides of a regular polygon

Solution :

• Let the exterior angle be 2x
• Let the interior angle be x

We know that,

• Sum of all angles in a triangle is equal to 180⁰

➞ 2x + x = 180⁰

➞ 3x = 180⁰

➞ x = 180/3

➞ x = 60

• Interior angle is 60⁰
• Exterior angle = 2x = 2(60) = 120⁰

Now , Finding the number of sides of a regular polygon :

We know that,

• Exterior angle = 360⁰/n

➞ 360/120

➞ 3 sides

Hence, Number of sides is 3

Verification :

➞ 360/3

➞ 120

Hence,Verified