Answer:
The value of x is 100 (d)
Step-by-step explanation:
The only important point is to know that
The sum of interior angles of a triangle is 180 and now the problem is easy.
Hope you understand
we know that,
Now,
In ∆QSO,
∠Q + ∠S + ∠O = 180°
35° + 30° + ∠O = 180°
∠O = 180° - 65°
∠SOQ + ∠SOR = 180°
115° + ∠SOR = 180°
∠SOR = 180° - 115°
In ∆RTO,
∠R + ∠T + ∠O = 180°
35° + ∠T + 65° = 180°
∠T = 180° - 100°
∠T + ∠x = 180°
80° + ∠x = 180°
∠x = 180° - 80°
Therefore,
Option D is correct ✔.
