Question

Question 8 (5 points)

(02.07 MC)
In the figure shown, what is the measure of angle x? (5 points)

150 degrees
110 degrees
105 degrees
100 degrees

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.