Two angles have the same measure (2x-10) so the triangle is isosceles.
The sum of the angles is x+2(2x-10)=x+4x-20=5x-20=180, 5x=200, x=40°.
The angles are 40°, 70° and 70°. There's no picture so BF is a perpendicular bisector of AC, which is also the altitude, if BF bisects AB̂C. This is a property of isosceles triangles. mAB̂F=mCB̂F=20°.