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

MCQ

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

• 40°

• 90°

• 80°

• 100°

#### 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?

#### APPEARS IN

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