Question

HELP!! What is the value of x??

Answer 1

X = 41°

Explanation:

Sum of interior Angles of a ∆ is 180°

`\angle1 + \angle2 + \angle3 = 180 \degree`

`Here \\ \angle1 = 105 \degree \\ \angle2 = ? \\ \angle3 = x`

`\angle4 = 146 \degree`

`here \: \angle2 + \angle4 = 180 \degree \\ \: (liner \: pair \: angle) degree\\ \angle2 + 146\degree = 180 \degree \\ \angle2 = 180 \degree - 146\degree \\ \angle2 = 34\degree`

`\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`