Step-by-step explanation:
Given;
We are given a parallel pair of lines m and n, and a transversal that cuts both lines.
Required;
We are required to find the value of x.
Step-by-step solution;
When a pair of parallel lines are cut by a transversal, the angle formed by the point of intersection of one line and the transversal is equal to that formed by the other line and the transversal when they both lie on the same side of the transversal.
This means on the diagram given;
This means angle 167 on line n is equal to angle 167 on line m. These are called corresponding angles.
The same applies to angle x on the line m and the other angle on line n. They both are also corresponding angles.
Next, take note that angles that lie on either side of a vertex where two lines intersect are called vertically opposite angles (or just opposite angles).
Therefore, angle x = 167 and angle 167 = x.
ANSWER:
