Question

How many sides has a polygon if the sum of it's angles is 48 right angles​

Answer 1

Step-by-step explanation:

How many sides does a polygon have if the sum of its interior angle is 8,640 degrees? n=50 sides.

Answer 2

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Given:-

the sum of it's angles is 48 right angles

To Find:-

How many sides has a polygon?

Explained Answer:-

We know that a right angle is of 90°

Now, since sum of the interior angles is 48 right angles,

Therefore,

$\sf{\leadsto (2n-4) 90° = 48×90°}$

$\sf{\leadsto 48×90=720}$

$\sf{\leadsto 2n - 4 = \frac{720}{90}}$

$\sf{\leadsto 2n=48}$

$\sf{\leadsto 2n-4=48+4}$

$\sf{\leadsto 2n=52}$

$\sf{\leadsto n = \frac{52}{2} = 26}$

: Thus, the polygon has 26 sides

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