MCQ

In ΔRST (See figure), what is the value of x?

#### Options

40°

90°

80°

100°

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#### Solution

In the given problem, we need to find the value of *x.*

Here, according to the corollary, “if bisectors of ∠ABC and ∠ACBof a ΔABC meet at a point O, then ∠BOC = 90° + 1/2 ∠A

In Δ*RST*

`∠ROT = 90° + 1/2 ∠S`

`∠ROT = 90° + 1/2 (x)`

`140° = 90° + 1/2 (x)`

`140° - 90° = 1/2 (x)`

Further solving for *x*, we get,

`50 = 1/2 (x)`

x = 2(50°)

x = 100°

Thus, x = 100°

Is there an error in this question or solution?

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