rightangle and remaining angle is 195 each how many side does polygon have

Question

if polygon have 5 right angle andremaining angle is 195 each how many side does polygon have

Answer 1

let the number of sides be n.

now we know that

the sum of interior angles = 180*(n-2)

since we have 5 right angles the sum is 5*90 = 450 and the remaining sides are 195 degrees each

hence 450 + 195(n-5) = 180*(n-2)

450 + 195n - 975 = 180n - 360 which follows

15n = 165

n = 11

therefore the number of sides is 11