Find the measures of ∠X and ∠Y.

so u see

Step-by-step explanation:

∠ACB 107°

Step-by-step explanation:

1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.

2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°

3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.

4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°