Question

lines A and B are parallel lines cut by transversal, t which of the following equations could be used to find the value of x?​

Answer 1

H

Explanation:

When 2 parallel lines are cut by transversal, it creates 4 pairs of equal angles.

If you see the top "cutting" part, we can say "13x - 15" angle and the angle beside is a straight angle (180 degrees), so their sum is 180. Also, vertically with the "13x - 15" angle, there is another angle, that also creates a line, so their sum would be 180 as well.

Now, the angle "22x + 9" goes same in the below part of the "cutting" point. They are the same angles as the 4 angles on top "cutting" part.

Thus, we can say "13x - 15" and "22x +9" are corresponding angles and they are EQUAL in measure.

So, we can write the equation:

13x - 15 = 22x + 9

THen we can solve for "x".

Equation H is right.