Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
[tex] \huge \purple {\boxed {m\angle ABC = 60\degree}} [/tex]
