What is the value of a

Mathematics

1 answer:

Daniel [21]3 years ago

3 0

The value of a is 2. Hope this helps!

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The measure of an interior angle of a regular polygon is 140°140°. find the number of sides of the polygon.

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$\alpha = \cfrac{180(n-2)}{n} \ \ \ \ \ [ \alpha =interior \ angle, \ \ n=number \ of 
 \ sides] \\ \\ \\ 140 = \cfrac{180(n-2)}{n} \\ \\ 140n = 180(n-2) \\ \\ 140n=180n-360 \\ \\ 40n=360 \\ \\ n= \frac{360}{40}=9 \ \ sides$

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