Solution:

(a) Construction: Join AB

∠A = ∠C = 35⁰ (Alt Angles)

∠ABC = 35^o

(b) ∠AOC + reflex ∠AOC = 360^o

130^o + Reflex ∠AOC = 360^o

Reflex
∠AOC = 360^o – 130^o = 230^o

Now arc BC Subtends reflex ∠AOC at the centre and ∠ ABC at the remaining part of the circle.

Reflex ∠AOC = 2 ∠ABC

∠ABC =1/2 reflex ∠AOC

= ½ × 230^o = 115^o