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lines $ell$ and $m$ are intersected by transversal $t$. $ellparallel m$…

Question

lines $ell$ and $m$ are intersected by transversal $t$. $ellparallel m$. if $mangle3 = 78^{circ}$, what is $mangle6$? $mangle6=square^{circ}$

Explanation:

Step1: Identify angle - pair relationship

$\angle3$ and $\angle6$ are alternate - interior angles.

Step2: Apply parallel - line property

Since $\ell\parallel m$, alternate - interior angles are congruent. So $m\angle6=m\angle3$.

Answer:

$78$