Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
In triangle ABC, using exterior angle theorem, we get
![\angle ACD=\angle ABC+\angle BAC](https://tex.z-dn.net/?f=%5Cangle%20ACD%3D%5Cangle%20ABC%2B%5Cangle%20BAC)
![x=75^\circ +30^\circ](https://tex.z-dn.net/?f=x%3D75%5E%5Ccirc%20%2B30%5E%5Ccirc%20)
![x=105^\circ](https://tex.z-dn.net/?f=x%3D105%5E%5Ccirc%20)
The value of x is 105 degrees.
Therefore, the correct option is C.