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Dima020 [189]
2 years ago
12

How many sides has a regular polygon if it's interior angles are:144 each, 135 each

Mathematics
1 answer:
Luden [163]2 years ago
5 0

The measure of each interior angle of a regular polygon is \frac{180(n-2)}{n} degrees, where n is the number of sides.

<u>Question 1</u>

<u />144=\frac{180(n-2)}{n}\\\\144n=180(n-2)\\\\144n=180n-360\\\\-36n=-360\\\\n=10 \text{ sides}

<u>Question 2</u>

<u />\frac{180(n-2)}{n}=135\\\\180(n-2)=135n\\\\180n-360=135n\\\\-360=-45n\\\\n=8 \text{ sides}

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