If the measures os an exterior angle of a regular polygon is 120 degrees, how many sides does the polygon have?
1 answer:
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We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.
Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:
m∠С = 38°42' = 38.7°
Answer: 38.7°
<span>I hope this helps</span>
<span>First we must find the third side (АС) of the triangle:
</span>
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.
Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:
m∠С = 38°42' = 38.7°
Answer: 38.7°
<span>I hope this helps</span>