Question

given:m<6=m<8b l l cprove:a l l b

Answer 1

1) From the data, we can see that

$\angle6=\angle8$

is given.

2) Next,

$\angle6=\angle7$

since they are alternate angles.

3) By substitution, these means that

$\angle7=\angle8$

4) Finally, a || b since

$\angle7=\angle8$

this is because, angle 7 and angle 8 are corresponding angles.

Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6

4 and 8, 1 and 5, 3 and 7

In our case, 7 and 8 are corresponding angles