A tangent-tangent circle angle intercepts two angles that are 149 and 211 degrees what is the measure of the tangent-tangent angle?

31 degrees

236-124/2=56 degrees

Take the inverse tangent -- tan-1(opposite side/adjacent side)

you solve secant angles when you have the hypotenuse and adjacent sides. sec=1/cos or, cos^-1 (reciprocal identity property)Tangent is solved when you have adjacent and opposite sides, or you can...

tan-1(0.8) = 38.65980825 degrees or 38.7 degrees to the nearest tenth.