if a ngon has a patteren of interior angles of 140 and 148 how many sides does it have?

The interior angles go 140 148 140 148 ect. How many sides does it have
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1 Answer

Sum of interior angles = 180(n-2)

and if the sequence is 140-148-140... then the sum of 2 angles is 288..

Hence sum of all interior angles is 288n/2

therfore  180(n-2) = 144n

                180n - 360 = 144n

                 36n = 360

                     n = 10
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