Question

What is the value of x?



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°

Answer 1

x = 127

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720 for x

120 + 100 + 128 + 133 + 112 + x = 720, that is

593 + x = 720 ( subtract 593 from both sides )

x = 127