Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

geometry 036112063100102 topic 2: assessment form a if m∠2 = 112, what …

Question

geometry 036112063100102
topic 2: assessment form a
if m∠2 = 112, what is m∠7?
m∠7 =

Explanation:

Step1: Identify vertical - angle relationship

$\angle2$ and $\angle4$ are vertical angles, so $m\angle4 = m\angle2=112^{\circ}$.

Step2: Identify corresponding - angle relationship

$\angle4$ and $\angle7$ are alternate - exterior angles. Since lines $\ell$ and $m$ are parallel (assumed from the context of angle - relationships in geometry), alternate - exterior angles are congruent. So $m\angle7=m\angle4$.

Answer:

$112$