Answer:
m∠14 = 138°
Explanation:
∠2 = ∠5 = 63° (vertically opposite angles)
∠9 +∠8 = 180° (linear pair)
=> 105° + ∠8 = 180
=> ∠8 = 180° - 105° = 75°
∠5 + ∠8 + ∠11 = 180° (sum of angles in a triangle is 180)
=> 63° + 75° + ∠11 = 180°
=> 138° + ∠11 = 180°
=> ∠11 = 180° - 138° = 42°
∠11 + ∠14 = 180° (linear pair)
=> 42° + ∠14 = 180°
=> ∠14 = 180° - 42° = 138°
Hope you understood!!