Question

angles on the same side of the transversal and inside the parallel lines are called angles.
two angles whose measures add up to 180 degrees are called angles.
angles that are opposite each other when two lines intersect are called angles.
$x^{2}-14x - 5=0$
$d = b^{2}-4ac=(-14)^{2}-4\times1\times(-5)=196 + 20 = 216$
$-b+sqrt{d}=-(-14)+sqrt{216}$

Explanation:

1. By the definition of angles formed by a transversal and parallel lines, angles on the same - side of the transversal and inside the parallel lines are called same - side interior angles.
2. Two angles whose measures add up to 180 degrees are called supplementary angles.
3. Angles that are opposite each other when two lines intersect are called vertical angles.

Answer:

1. Same - side interior
2. Supplementary
3. Vertical