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!
