Find the value of x
a. 40
b. 50
c. 80
d. 60

Part 1: Find the measure of the angle adjacent to x

The four lines create a quadrilateral and the sum of all four angle measures is equal to 360°. So, to find the measure of angle x, we first have to find the measure of the fourth interior angle. For now, I will label that angle as y.

110 + 40 + 80 + y = 360

230 + y = 360

230 + y - 230 = 360 - 230

y = 130°

Part 2: Find the measure of angle x

Angles x and y are supplementary angles, which means that the sum of their measures is equal to 180°.

y + x = 180

130 + x = 180

130 + x - 130 = 180 - 130

x = 50°

So, your final answer is...

B) x = 50°

Hope this helps!