Step-by-step explanation:
[tex] \angle \: 1 = 90 \degree \\ \\ \angle \: 2= 38 \degree \\ \\ \angle \: 4=\angle \: 1=90 \degree ..(vertical \: \angle \: s) \\ \\ \angle \: 5=\angle \: 2=38 \degree ..(vertical \: \angle \: s) \\ \\ \angle \: 6=180\degree - (\angle \: 4 + \angle \: 5) \\ = 180\degree -(90\degree + 38\degree ) \\ = 180\degree -128\degree \\ = 52\degree \\ \\ \angle \: 3=\angle \: 6=52 \degree ..(vertical \: \angle \: s) [/tex]
