9514 1404 393
Answer:
 70°
Step-by-step explanation:
Angles 2 and 13 are alternate exterior angles, so are congruent. The value of x can be found by solving the equation that equates the expressions for the measures of these angles. Once x is found, the measure of angle 13 can be determined. The measure of angle 9 is the supplement of angle 13.
So, ...
 m∠2 = m∠13
 8x +14 = 10x -10
 24 = 2x  . . . . . . . .  add 10-2x
 12 = x
 m∠13 = 10x -10 = 10·12 -10 = 110
 m∠9 = 180° -110°
 m∠9 = 70°
