Find the missing angle measure

Question

asked Jan 18, 2023 222k views

1 Answer

Sacvf · Answer 1 · 2023-01-25T15:43:06+0000

Answer:

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:

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