answer this question class 8 maths
Answers
Answer:
I thik c right
PTA nhi y us time pra bhi the ya nhi
Answer:
b is the correct answer...
(2n - 4 / n) × 90° ...
ABCDE is a “n” sided polygon. Take any point O inside the polygon. Join OA, OB, OC.
For “n” sided polygon, the polygon forms “n” triangles.
We know that the sum of the angles of a triangle is equal to 180 degrees
Therefore, the sum of the angles of n triangles = n × 180°
From the above statement, we can say that
Sum of interior angles + Sum of the angles at O = 2n × 90° ——(1)
But, the sum of the angles at O = 360°
Substitute the above value in (1), we get
Sum of interior angles + 360°= 2n × 90°
So, the sum of the interior angles = (2n × 90°) – 360°
Take 90 as common, then it becomes
The sum of the interior angles = (2n – 4) × 90°
Therefore, the sum of “n” interior angles is (2n – 4) × 90°
So, each interior angle of a regular polygon is [(2n – 4) × 90°] / n...
hope it helps you!!