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In δRst (See Figure), What is the Value of X? - Mathematics

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 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°

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 11 Triangle and its Angles
Q 30 | Page 29
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