Answer:
x = 70°
Step-by-step explanation:
I will assume solving the problem where 2 parallel lines are cut by a transversal that has an angle 110 and another angle x. Lets solve for x.
When 2 parallel lines are cut by transversals, we have 4 pair of equal angles.
Now, looking at the figure,
The angle beside (adjacent) to the angle 110 is same as the angle x degrees.
These are corresponding angles, which are equal.
So, we have 110 degree angle and x degree angle adjacent to each other in a straight line. This is a straight angle.
A straight line (or, straight angle) creates 180 degrees. Thus, we can write:
110 + x = 180
Now, we solve for x:
[tex]110 + x = 180\\x=180-110\\x=70[/tex]
So,
x = 70°
