Question

If ↔FH and ↔IK are Parallel lines and m<HGE=65°, what is m<KJG

Answer 1

Given that the lines \( \overline{FH} \) and \( \overline{IK} \) are parallel and \( m\angle HGE = 65^\circ \), we can use the properties of parallel lines to find \( m\angle KJG \).

Since \( \overline{FH} \) and \( \overline{IK} \) are parallel, and if \( \angle HGE \) is an alternate interior angle to \( \angle KJG \), then:

\[
m\angle KJG = m\angle HGE = 65^\circ
\]

Thus, \( m\angle KJG = 65^\circ \).

Please clarify the positions of the angles or any extra information if \( HGE \) and \( KJG \) are not alternate interior angles, but based on parallel lines, that is the most likely relationship.