Question

A convex hexagon has interior angle measures of 150 degrees, 3x, 2x, 4x + 24, and 3x + 50.

What is the value of x ?

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Answer 1

Explanation:

The sum of the measures of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

The sum of the measures of the interior angles of a hexagon is

180(6 - 2) = 180(4) = 720

(150) + (3x) + (2x) + (4x + 24) + (3x + 50)

Here's a problem. Only 5 measures are given.

This problem cannot be solved with the given information.