Answer:
X = 41°
Step-by-step explanation:
Sum of interior Angles of a ∆ is 180°
[tex] \angle1 + \angle2 + \angle3 = 180 \degree [/tex]
[tex]Here \\ \angle1 = 105 \degree \\ \angle2 = ? \\ \angle3 = x[/tex]
[tex] \angle4 = 146 \degree[/tex]
[tex]here \: \angle2 + \angle4 = 180 \degree \\ \: (liner \: pair \: angle) degree\\ \angle2 + 146\degree = 180 \degree \\ \angle2 = 180 \degree - 146\degree \\ \angle2 = 34\degree[/tex]
[tex] \angle1 + \angle2 + \angle3 = 180 \degree \\ 105\degree + 34\degree + x = 180\degree \\ 139\degree + x = 180\degree \\ x = 180\degree - 149\degree \\ x = 41\degree[/tex]
