**Q: A hexagon has interior angles measuring (in degrees) 137, 100, 150, 114, 90, and x. What is the value of x?**

Answer: 129

Explanation:

The total measure of all the interior angles in a polygon is (n-2) * 180, where n is the number of sides of the polygon.

A hexagon has 6 sides, so n = 6. The total is (6-2) * 180 = 720.

Add up the five given angle measures: 137 + 100 + 150 + 114 + 90 = 591.

The measure of the remaining angle is 720 – 591 = 129.

My TI-84 Plus program POLYGON will find this total for you.

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