Consider the adjacent parallelogram $EFGH$EFGH.
Which pairs of sides are parallel?
If $\angle HGF$∠HGF =$83$83, then find $\angle FEH$∠FEH. Give reasons.
If $FG$FG=$6$6, find the size of $EH$EH. Give reasons.
If $EI$EI = $12$12, find the size of $EG$EG. Give reasons.
Determine, through investigation using a variety of tools and describe the properties and relationships of the angles formed by parallel lines cut by a transversal, and apply the results to problems involving parallel lines