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
[tex]\angle ACD=\angle ABC+\angle BAC[/tex]
[tex]x=75^\circ +30^\circ [/tex]
[tex]x=105^\circ [/tex]
The value of x is 105 degrees.
Therefore, the correct option is C.
