In a triangle the measured of the angles are x,x+20, and 2x. What is the value of x?

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Solution

$\begin{matrix} W e k n o w t h a t s u m o f a l l a n g l e s o f t r i a n g l e i s 180^{\circ} . N o w x + x + 20 + 2 x = 180 \Rightarrow 4 x = 180 - 20 \Rightarrow x = \frac{160}{4} ∴ x = 40 h e n c e, t h e v a l u e o f x i s 40. \end{matrix}$

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