I see this triangle is isosceles. Thus, it has 2 sides of length 8 and 2 angles of measure 30 degrees.
(30 deg) + (30 deg) + (angle A) MUST add up to 180 degrees.
Thus, 60 deg + Angle A = 180 deg, so that Angle A = (180 - 60) deg, or 120 deg (answer)