CAN SOMEONE HELP. i will give 150 points if some one can explain and solve you have to find the missing angle measures.

\angle ACB=40^{\circ}, \angle ABC=63^{\circ}

Step-by-step explanation:

Finding x:

We know that , because it's a straight line. So, .

We know that the sum of the angles of any triangle will be .

So, we have that .

Combining like terms on the left gives .

Subtracting from both sides gives .

Dividing both sides by gives .

Finding missing angle measures:

.

.

So, and and we're done!

Note: . Coincidence? If not, try and prove it!

Here you go, I’m pretty sure this is correct (Note, it should be 6X=108 not 6X=103. I simply forgot to actually add the 5 but the rest of the problem is correct)