Question

Two angles of a convex polygon are right angles and each of the other is 120°. How many sides has the polygon?​

Answer 1

Each side has its one exterior angle Therefore polygon would have 2 sides made by exterior angles 90 And since sum of exterior angles in any polygon is 360 Therefore sum of exterior angles other than of 90 are 360 - 90 - 90 = 180

therefore other exterior angles = int angle + exterior angle =180 or exterior angle = 180-120 =60

and since sum of exterior angle other than 90 = 180 therefore no of sides = 180/60 = 3 Therefore no of sides = 3+2 =5