Question

An n-sided polygon has two of its exterior angles measuring 30° and 42°.The remaining exterior angles all measure 16° each. Find the value ot n.​

Answer 1

n = 20.

Explanation:

The external angles of a polygon add up to 360 degrees. So:

30 + 42 + 16(n - 2) = 360 where n is the number of sides of the polygon.

16n + 30 + 42 - 32 = 360

16n + 40 = 360

16n = 320

n = 20.