In the figure shown, what is the measure of angle x? 150 degrees 110 degrees 105 degrees 100 degrees

The answer is 105 degrees

180-75=105

Third option is correct.

Step-by-step 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,

Hence, Third option is correct.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180