Question

rohit has 6 wooden sticks of equal length. he wants to join all of them in such a way that they make a regular polygon, at what internal angle he has to join wooden stick with each other? options :- 105∘ 120∘ 115∘ 90∘

Answer 1

Answer:......120°.......

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Step-by-step explanation:-

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Each interior angle = (2n -4/n * 90)°,

where,

n= number of sides the polygon

Here, n=6 (given in the question)

:- Each interior angle = [(2*6)-4/6 * 90]° = (8/6*90)° = 120°.

Answer 2

The correct answer is 120°.

Given: 6 Wooden sticks of equal length.

To Find: The interior angle of figure formed after joining.

Solution:

As given 6 sticks are there of equal length.

When we will join them a 6 sided figure will be formed.

6 sided is Hexagon.

So, the sum of all interior angles formula is

(2n - 4) × 90°

Here n = 6.

= (2*6 - 4) * 90°

= 720°.

So, if angle of hexagon = x

6x = 720°

x = 120°

Hence, the internal angle of hexagon is equal to 120°.

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