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One exterior angle of a regular pentagon has a measure of (2x). What is the value of x?
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х = 18
х = 20
х = 30
х = 36

Answer :

mistsadiya08

x = 36

pentagon has 5 sides . The formula n/360 gives you the measure of each angle in a regular polygon. So in this case n ( stands for number of sides) is 5. Sum of exterior angle of a any polygon is 360. The measure of 1 exterior angle is given. It is 2x.

Now using ALGEBRAIC EXPRESSIONS we can write it as 5/360 = 2x

which is 72=2x

which is 72/2 = x

which is 36 = x

so x = 36.

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