Mathematics

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


ANSWER

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


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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