Mathematics

# Which one of the following is true for the given triangle?

$\angle 3 = \angle 1 + \angle 2$

##### SOLUTION
In the given triangle, we can easily apply exterior angle property of triangle.
For given triangle $XYZ$,
$\angle 1+\angle 2+\angle z=180^{o}$
Also, $\angle 3+\angle z=180^{o}$ ......... (Linear pair of angles)
$\angle 1+\angle 2+\angle z=\angle 3 +\angle z$
$\Rightarrow \angle 3=\angle 1+\angle 2$ ...... (exterior angle property)

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Single Correct Medium Published on 09th 09, 2020
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