Question

find x.
please do in copy and send i will brainlist​

Answer 1

${\huge{\boxed{\mathfrak{\pink{Answer}}}}}$

Construction: Extend AD to point E on line BC.

In ∆ABE,

➝ 40° + 110° + y = 180° (angle sum)

➝ 150° + y = 180°

➝ y = 180° - 150°

➝ y = 30°

➝ y + z = 180° (linear pair)

➝ 30° + z = 180°

➝ z = 180° - 30°

➝ z = 150°

➝ In ∆DEC,

150° + 50° = 200°

x = 200

• x is the exterior angle of ∆DEC
• Exterior angle is the sum of interior opposite angles.