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Pls help find The value of x of the polygon

Pls help find The value of x of the polygon-example-1
User Romesh
by
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1 Answer

10 votes

Answer:

97°

Explanation:

First, find the sum of the interior angles by using the following formula.


S = (n-2)180

S is the sum and n is the number of sides

S = (5 - 2)180

S = (3)180

S = 540°

Next create an equation by adding all the interior angles together and setting the sum equal to the sum of the interior angles and solve for x, the missing angle.

72 + 136 + 127 + 108 + x = 540

443 + x = 540

443 - 443 + x = 540 - 443

x = 97°

User Amurrell
by
3.8k points