# Draw the parallel lines cut by a transversal with its measurement.

2
by emranzkiecabugatan

2016-01-28T23:30:37+08:00
I wish it help!!! ^^
2016-01-29T17:10:33+08:00
On the figure I made, the:

Corresponding angles are:
∡1 & ∡3
∡2 & ∡4
∡5 & ∡ 7
∡6 & ∡ 8
-the other angles was inside the parallel lines while the other one was outside the parallel lines but both of the angles are located on the same side. Also, corresponding angles are congruent.

Vertical angles are:
∡1 & ∡6
∡2 & ∡5
∡3 & ∡8
∡7 & ∡4
-the vertical angles have the same vertex. They are also congruent. Also, the other angle was inside the parallel lines while the other one is outside the parallel lines but the both of them aren't located on the same side.

Alternate - interior angles are:
∡2 & ∡7
∡ 6 & ∡ 3
-alternate - interior angles are angles inside the parallel lines but aren't located on the same side. Those angles are congruent.

Alternate - exterior angles are:
∡1 & ∡8
∡5 & ∡ 4
-alternate - exterior angles are angles outside the parallel lines but aren't located on the same side.Those angles are congruent.

Interior angles on the same side of the transversal are:
∡2 & ∡3
∡6 & ∡7
- from the angle relationship's name itself, those are interior angles located on the same side of the transversal. Those angles are supplementary.

Exterior angles on the same side of the transversal are:
∡1 & ∡4
∡5 & ∡8
- from the angle relationship's name itself, those are exterior angles located on the same side of the transversal. Those angles are supplementary.

Angles forming a straight line (linear pair) are:
∡1 & ∡2
∡3 & ∡4
∡5 & ∡6
∡7 & ∡8
- those are angles forming a linear pair. Their angles have the same side (definition of adjacent angles). Those angles are supplementary.

With the help of those information, we can tell the measurement of each angle. If m∡1 = 108° the rest of the angles have a measurement of:

m∡2 = 72°
m∡3 = 108°
m∡4 = 72°
m∡5 = 72°
m∡6 = 108°
m∡7 = 72°
m∡8 = 108°

I hope it help. ☺