Question

Find the missing angle measure

Answer 1

y = 145°

Explanation:

Before we can find m ∠y, we need to find the sum of all the angles in the polygon using the formula (n-2)*180 where n is the number of sides.

The figure is a heptagon and has 7 sides so we have:

`Sum=(n-2)*180\\Sum=5*180\\Sum=900`

Now we can set all the angles equal to 900 and solve for y:

`116+129+130+135+125+y+120=900\\755+y=900\\y=145`