Question

lines $ell$ and $m$ are intersected by transversal $t$ and $ellparallel m$. if $mangle2 = 120^{circ}$, what is $mangle7$? $mangle7=square^{circ}$

Explanation:

Step1: Identify vertical - angle relationship

$\angle2$ and $\angle4$ are vertical angles, so $m\angle4=m\angle2 = 120^{\circ}$ since vertical angles are congruent.

Step2: Identify corresponding - angle relationship

Since $\ell\parallel m$, $\angle4$ and $\angle7$ are alternate - exterior angles. Alternate - exterior angles formed by two parallel lines and a transversal are congruent. So $m\angle7=m\angle4$.

Answer:

$120$