In a pốlygón with all angles equal, one, outer angle is twice an inner angle. i) How much is each of its angles? ii) How many sides does it have?

Explanation

Sum of the outer angles of the polygon `=360^(circ)`
Suppose the inner angle be `x`. `therefore` Outer angle `=2 x`
i.e., `x+2 x=180` (linear pair)
``
beginarray/l
3 x=180
x=180/3=60^(circ)
endarray
...