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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.
Do all corresponding angles measure the same?
No. Corresponding angles are only equal when the lines crossed by the transversal are parallel.
Given two parallel lines with a transversal if one of the angles measures 50 degrees what are the measures of all the other angles?
All acute angles measure 50 degrees. All obtuse angles are supplementary to the acute angles, so they measure 130 degrees.
What are some examples of congruent angles?
All right angles are congruent.All straight angles are congruent.All zero angles are congruent.All the angles of a regular polygon are congruent.Vertical angles (the angles opposite one another when two lines intersect) are congruent.When a transversal crosses parallel lines:Corresponding angles are congruent.Alternative Interior angles are congruent.Alternative Exterior angles are congruent.Finally, any angles with the same measure are congruent.
How do you solve an alternate angle?
Alternate angles have the same measure, so there is nothing to solve!
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.
When two parallel lines are cut by a transversal angles A and B are alternate interior angles that each measure 105 and deg. What is the measure of each of the other alternate interior angles?
Each other of the alternate angles will measure 75 degrees because there are 180 degrees on a straight line.
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 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.
Are alternate interior angles complementary?
Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.
