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Question
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 ΔRST
`∠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°
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