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Each other of the alternate angles will measure 75 degrees because there are 180 degrees on a straight line.

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When two lines are cut by a transversal if the alternate interior angles are equal in measure then the lines are parallel?

yes


Alternate interior angle theorem?

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.


How are the measure of the angles related when parallel lines are cut by a transversal?

corresponding angles are equal and alternate angles are equal


When two lines are cut by transversal if the alternative interior angles are equal in measure then the lines are parallel?

Yes.


What are the conditions that guarantee parallelism?

Parallel lines are lines that are coplanar (lying on the same plane) and do not intersectwhen cut by a transversal,corresponding angles formed by line n are equal in measure,alternate interior angles are equal in measures,the measures of alternate exterior angles are equal,consecutive interior angles are supplementary,consecutive exterior angles are supplementary.


The diagram shows two parallel lines and a transversal. If the measure of 6 is 140 what is the measure of 1?

the diagram shows two parallel lines and a transversal if the measure of 6 is 140?


When two lines are cut by a transfersal if the alternate interior angles are equal in measure then the lines are parallel true or false?

It is true


The figure below shows a transversal t which intersects the parallel lines PQ and RS Lines PQ and RS are parallel with transversal t intersecting the lines. Going clockwise angles 1 2 3 and 4 are on l?

In the scenario described, angles 1 and 3 are corresponding angles formed by the transversal t intersecting the parallel lines PQ and RS, making them equal in measure. Similarly, angles 2 and 4 are alternate interior angles, which are also equal. Therefore, the relationships between these angles demonstrate the properties of parallel lines and transversals, confirming that angles 1 = angle 3 and angle 2 = angle 4.


The diagram shows two parallel lines and a transversal. If the measure of 3 is 50, what is the measure of 5?

130


What is special about alternate angles?

they lie on the opposite sides and at the opposite of a transversal line.


Do all corresponding angles measure the same?

No. Corresponding angles are only equal when the lines crossed by the transversal are parallel.


How many angles are formed when one transversal crosses four parallel lines?

16 angles, 8 of each measure - unless the transversal is perpendicular in which case, all 16 angles are right angles.