Two parallel lines bisected by a straight line can produce three angles. Angles on the one side or 'inside' are corresponding. They can also be co-interior, in that they add up to 180-degrees. Opposite side one are called alternate angles.
When Two parallel lines are cut by the transversal, __________ angles are supplementary
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.
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.
A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.
Only if the lines cut by the transversal are parallel.
Alternate and supplementary
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.
When Two parallel lines are cut by the transversal, __________ angles are supplementary
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
Alternate and interior angles are created between parallel lines when a transversal line cuts through them.
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.
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.
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
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 a transversal line cuts through parallel lines various angles are created such as equal corresponding angles and equal alternate angles as well as other types of angles.
They are angles formed by the transversal line cutting through parallel lines
A transversal line cuts through parallel lines forming equal corresponding angles