Mark M. answered 08/04/20
Retired math prof. Very extensive Precalculus tutoring experience.
Since b = c, ∠B = ∠C = 65°. So, ∠A = 180° - ∠B - ∠C = 50°.
Using the Law of Sines, sin50° / a = sin65° / 20
So, a(sin65°) = 20sin50°
Therefore, a = 16.90