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Area of a Triangle

If x,x-y an...

Question

If $x, x - y$ and $x + y$ are the angles of a triangle (not an equilateral triangle) such that $tan (x - y), tan x$ and $tan (x + y)$ are in GP, then what is $x$ equal to?

A

\frac{π}{4}

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B

\frac{π}{3}

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C

\frac{π}{6}

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D

\frac{π}{2}

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Solution

The correct option is C $\frac{π}{3}$
we know that, Sum of Angles of a Triangle is $180^{o}$

$x + (x - y) + (x + y) = 180^{o} \Rightarrow 3 x = 180^{o} = x = 60^{o} = \frac{π}{3}$

Therefore,Correct Answer is $B$

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