solve for brainliest please

Answer:
13
Step-by-step explanation:
Let the inner angle (between m and n) corresponding to (8x+10)° be angleA.
The angle A is equal to 5x+1)° because they are vertical angles.
And the addition of the two unknown angles are 180°
5x+1)° + 8x +10)° = 180°
13x+11 = 180°
13x = 169°
x = 13.