A pair of parallel lines with a transversal will have the following pairs of angles.
Alternate , Corresponding, Allied internal, allied external and Vertically Opposite.
Unfortunately I cannot draw a diagram on this site in order to show you the positions of these angle - pairs.
When Two parallel lines are cut by the transversal, __________ angles are supplementary
When 2 parallel lines are cut by a transversal some of the pairs of angles which are formed are called alternate angles whereas other pairs are called interior angles.
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
Only if the lines cut by the transversal are parallel.
Only if the lines cut by the transversal are parallel.
When Two parallel lines are cut by the transversal, __________ angles are supplementary
When parallel lines are cut through by a transversal line the alternate angles are equal
I think it is when there are 2 parallel lines, then the lines which cut both is called transversal.so, the angles which are between one side of the transversal and a parallel line must be called a transversal angles.
If two parallel lines are cut by a transversal, the sum of the measures of the interior angles on the same side of the transversal is 180 degrees. This is due to the properties of parallel lines and the angles formed by the transversal, which create corresponding and consecutive interior angles. Hence, these angles are supplementary.
When non-parallel lines are cut by a transversal, alternate interior angles are not necessarily equal. Instead, the relationship between these angles depends on the specific measures of the angles formed by the transversal and the non-parallel lines. Therefore, unlike the case with parallel lines, alternate interior angles do not have a consistent property of being congruent when the lines are not parallel.
When 2 parallel lines are cut by a transversal some of the pairs of angles which are formed are called alternate angles whereas other pairs are called interior angles.
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
corresponding and alternate angles
They are parallel lines
Only if the lines cut by the transversal are parallel.
Only if the lines cut by the transversal are parallel.
Parallel lines cut by a transversal form congruent alternate interior angles.