Bonjour,
AC = 30 - 1,6 = 28,4
Tan angle AOC = AC/CO = 28,4/10
donc : angle AOC = Tan⁻¹ (28,4/10)
Tan angle COB = CB/CO = 1,6/10
donc : angle COB = Tan⁻¹ (1,6/10)
angle AOB = angle AOC + angle COB
= Tan⁻¹ (28,4/10) + Tan⁻¹ (1,6/10)
= 79,692.....
≅ 80°