9514 1404 393
Answer:
x = 7.5
Explanation:
Angle LMN is twice the measure of angle NMO, so we have ...
6x -17 = 2(2x -1)
6x -17 = 4x -2 . . . . eliminate parentheses
2x = 15 . . . . . . . . . add 17-4x
x = 7.5 . . . . . . . . . divide by 2
_____
Check
6x -17 = 6(7.5) -17 = 28
2x -1 = 2(7.5) -1 = 14 . . . . . . half of angle LMN, as required