Question

Please answer with solution

Answer 1

Answer:

LET THE SIDES OF THE TRAINGLE BE 'A', 'B', 'C' AND THE EXTENDED LINE BE 'D' .

∠DCA = 110°

∠BAC = 50°

∠DCA and ∠ABC are adjacent angles.

So, ∠DCA + ∠ABC = 180°

=> 110° + ∠ABC = 180°

=> ∠ABC = 180° - 110° = 70°

So, ∠ABC + ∠BAC + ∠x = 180° [Angle sum property]

=> 70° + 50° + x = 180°

=> 120° + x = 180°

=> x = 180° - 120° = 60°

∴ x = 60°

Hope this helps you :)