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Construct Triangle When Its Base, Difference of the Other Two Sides and One Base Angle Are Given

In Δ R S T Se...

Question

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

(a) 40

(b) 90°

(c) 80°

(d) 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 and of a ΔABC meet at a point O, then

In ΔRST

Further solving for x, we get,

Thus,

Therefore, the correct option is (d).

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Similar questions

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In $Δ R S T$ (in the figure), what is the value of x?

In the given figure, O is the centre of a circle. If $∠ O A B = 40^{\circ}$ and C is a point on the circle then $∠ A C B = ?$

(a) $40^{\circ}$

(b) $50^{\circ}$

(d) $100^{\circ}$

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