Mathematics

What is the value of $$z$$ in above figure?


ANSWER

$$132^o$$


SOLUTION
According to Converse of the Alternate Interior Angles Theorem
$$\angle x=\angle z$$
And we know that $$\angle x+58^\circ=180^\circ$$
$$\Rightarrow x=132^\circ$$
$$\Rightarrow \angle z=x$$    ....Alternate angles
Therefore, $$z=132^\circ$$
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