Question

Find the
Sum of
of interior angle: n=5
h=6​

Answer 1

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ANSWER

We know that sum of interior angles of a polygon of side n is (n-2) x 180 so let tn =(n-2) x 180

∵tnislinearinn,soitisn

th

termofsomeAP

t3=180,n=3

t4=2×180,n=4

t5=3×180,n=5

t4−t3=180,

t5−t4=180

commondiffernceis180

Sum of interior angles of polygon with 3, 4, 5, .sides forms an AP.

Now sum of interior angles of 21 sides polygon is

t21=(21−2)×180

19×180

3420

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