Question

Solve for x using the picture
a. 180
b. 70
c. 60
d. 110

Answer 1

D. 110

Explanation:

First let's start by finding the measure of Angle ACB. Since angles in a triangle add up to 180 degrees:

ACB=180-(50+60)

ACB=180-110

ACB=70

We can also see that Angle X is supplementary/linear pair with Angle ACB. This means that Angle X+Angle ACB is equivalent to 180 degrees.

So...

x=180-ACB

x=180-70

x=110 degrees