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.
1 answer:
Answer:
n = 20.
Step-by-step 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.
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