Question

Given the polygon below, solve for y. Explain your process.

Answer 1

80°

Explanation:

The sum of the interior angles in a hexagon is 720°. This means that:

y + (2y - 20) + (2y - 20) + y + (2y - 20) + (2y - 20) = 720° - we can simplify this

10y - 80 = 720° - now, add 80 to both sides

10y = 800 - finally, divide both sides by 10

y = 800 ÷ 8 = 80°

Hope this helps!