There are at least 28 different pairs of angles: 66 if the first two lines are not parallel. Your question needs to be more specific as to which angles you mean.
If the intersected lines are parallel then the angles are called equal alternate angles
Any angle that you like.
More info needed. Are the 2 lines parallel, perpendicular, or? are the angles that you are interested in on opposite sides of the intersecting line or the same side. The intersecting line is called a transversal. If the original lines are parallel, angles between the 2 lines on opposite sides of the transversal are called alternate interior angles, etc.
The third line is known as a transversal.
Here a diagram would be great and help visualize your question. My quick though is that unless the first two lines are parallel, they must intersect at some point. With this assumption (not parallel) a triangle is formed and the inner angles a, b and c would add up to 180 degrees.
Possibly an isosceles triangle
If the intersected lines are parallel then the angles are called equal alternate angles
Any angle that you like.
More info needed. Are the 2 lines parallel, perpendicular, or? are the angles that you are interested in on opposite sides of the intersecting line or the same side. The intersecting line is called a transversal. If the original lines are parallel, angles between the 2 lines on opposite sides of the transversal are called alternate interior angles, etc.
False. The angles can be formed by two skew lines intersecting a third line.
Bob Marley dog named Philbert the purple pooping panda
The third line is known as a transversal.
Yes, they are.
Here a diagram would be great and help visualize your question. My quick though is that unless the first two lines are parallel, they must intersect at some point. With this assumption (not parallel) a triangle is formed and the inner angles a, b and c would add up to 180 degrees.
It looks like a ladder with only one step, a railroad track with only one tie, or the upper-case letter ' H '.
The alternate interior angle theorem states that when two parallel lines are cut by a transversal, the alternate interior angles formed are congruent. In other words, if two parallel lines are crossed by a third line, then the pairs of alternate interior angles are equal in measure.
If by two sets of perpendicular lines you mean two pairs of perpendicular lines we can do it. One set of parallel lines is easy so draw that as the first and second lines A right angle from one of them will intersect the other at a right angle so that's the third line and the right angles sorted. The fourth side cannot be parallel to the third so draw it at an angle to the third. We now have two right angles, one set of parallel lines and two pairs of perpendicular lines, first and third, and second and third. What we call it depends on where we are. In the UK it is called a trapezium and in the USA a trapezoid. I'm afraid I don't know naming conventions in other countries.