Question
In figure, find the value of x.
Solution
Construction: Join BD and extend upto E.
x = ∠ADC
= ∠ADE + ∠CDE
= (∠DAB + ∠ABD) + (∠DBC + ∠DCB)
| Exterior angle theorem
= 35° + (∠ABD + ∠DBC) + 50°
= 35° + ∠ABC + 50°
= 35° + 45° + 50°
= 130°
