Question

In a polygon with all angles equal,one inner angle twices an outer angle.

i)How much is each of its angles?
ii)How many sides does it have?

please answer this questions...​

Answer 1

Answer:

Step-by-step explanation:

Sum of the outer angles of the polygon =360∘ Suppose the inner angle be x. ∴ Outer angle =2x i.e., x+2x=180 (linear pair) beginarray/l 3 x=180 x=180/3=60^(circ) endarray i) Each inner angle =60∘ Outer angle =2×60=120∘ each i) Number of sides =360120=3 It has 3 sides