Answer:
x = 2
Step-by-step explanation:
When a transversal crosses parallel lines, it creates 8 angles. Pairs of angles that are in the same direction from the points of intersection are called "corresponding angles." Corresponding angles are congruent.
__
In the given diagram, the marked angles are both "southeast" of their respective points of intersection. That means they are corresponding angles, and have the same measure.
(9x -7)° = (7x -3)°
2x = 4 . . . . . . . . . . . divide by °, add 7-7x
x = 2 . . . . . . . . . divide by 2
_____
Check
The measures of the angles are ...
(9(2) -7)° = (18 -7)° = 11°
(7(2) -3)° = (14 -3)° = 11° . . . . same as the first angle, as it should be
