Question

In the figure shown, what is the measure of angle x?

150 degrees
110 degrees
105 degrees
100 degrees

Answer 1

The answer is 105 degrees

180-75=105

Answer 2

Answer: Third option is correct.

Explanation:

Since we have given that

In ΔABC,

∠A= 30°

∠B=75°

We need to find the value of ∠ACD=x

As we know that "Sum of interior angles is equal to exterior angle":

So, we will have,

`\angle A+\angle B=\angle ACD\\\\30\textdegree+75\textdegree=\angle ACD\\\\105\textdegree=\angle ACD`

Hence, Third option is correct.