Question

Help me fast plzzz..

Answer 1

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

Answer 2

Step-by-step explanation:

we know that,

• sum of interior angle of triangle is 180°

Now,

In ∆QSO,

∠Q + ∠S + ∠O = 180°

35° + 30° + ∠O = 180°

∠O = 180° - 65°

∠O = 115°

Now,

we know that,

• sum of all angles in a straight line is 180°

∠SOQ + ∠SOR = 180°

115° + ∠SOR = 180°

∠SOR = 180° - 115°

∠SOR = 65°

Now,

In ∆RTO,

∠R + ∠T + ∠O = 180°

35° + ∠T + 65° = 180°

∠T = 180° - 100°

∠T = 80°

Now,

∠T + ∠x = 180°

80° + ∠x = 180°

∠x = 180° - 80°

∠x = 100°

Therefore,

Option D is correct ✔.