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Question in-the

4.1 Lines, Angles, and Triangles - Exterior angle theorem
0:00
The figure presents triangle A B C, where side A C is horizontal, vertex A is to the left of vertex C, vertex B is above side A C, and the measure of angle A B C is labeled x degrees. Side A C extends horizontally to the right to point D, and the angle, B C D, that is above line segment C D and to the right of side B C has a measure of one hundred ten degrees.

In the given figure, side A C extends to point D. If the measure of angle B A C is equal to the measure of angle B C A, what is the value of x ?

A.

110

B.

70

C.

55

D.

40