# What’s the value of x?

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Feb 7, 2018

x=40^°

#### Explanation:

A slightly different way to do it.

Angles on a straight line add up to 180^°. So the third angle in our triangle is $180 - 120 = 60$.

But the angles of a triangle also add up to $180$. So

$2 x + x + 60 = 180$

$\Rightarrow 3 x = 120$

rArrx=40^°

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Jim G. Share
Feb 7, 2018

$x = 40$

#### Explanation:

$\text{the exterior angle "120^@" is equal to the sum of the}$
$\text{opposite interior angles 2x and x}$

$\Rightarrow 2 x + x = 120$

$\Rightarrow 3 x = 120 \Rightarrow x = 40$

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