Answer:
y = 38°
Step-by-step explanation:
Lines m and n are the parallel lines and 'l' is a transversal line.
Therefore, by the corresponding angles theorem,
2x = 52°
x = 26°
∠BAC = 2x° = 52° [Vertically opposite angles]
m∠ABC = 90°
In ΔABC,
m∠ABC + m∠BAC + m∠BCA = 180° [Triangle sum theorem]
90° + 52° + y° = 180°
y = 180 - 142
y = 38°
