Question

a. Two angles of a polygon are right angles and every other angle 120°. find the number of sides of polygon .

b. Find the values of x and y​​​

Answer 1

Answer:

a)let the polygon has x number of sides ,

and then sum of all interior angles of polygon

(x-2)180=2(90)+120(x-2)

(as we know the sum of all interior angles of polygon is (n-2)180 where n is number of sides of the polygon)

180x-360=180+120x-240

180x-120x=180-240+360

60x=300

x=5

therefore the polygon has five sides