Question

HELP!
The angle measures of a hexagon add up to 720°. What is the measure of angle Z?

Answer 1

m∠Z = 166°

Explanation:

Since we know that the angles add up to 720°, we can set up an equation to solve for the variable x:

12x + 14x - 6 + 108 + 108 + 108 + 90 = 720

26x + 408 = 720

26x = 312

x = 12

Now we substitute the number in for x to solve ∠Z:

m∠Z = 14(12) - 2 = 166

m∠Z = 166°