Question

Question 8 (5 points)

Answer 1

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

$\angle ACD=\angle ABC+\angle BAC$

$x=75^\circ +30^\circ$

$x=105^\circ$

The value of x is 105 degrees.

Therefore, the correct option is C.