Question

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles

Answer 1

Answer:

If two parallel lines are cut by a transversal, the alternate interior angles are congruent. If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel. Alternate Exterior Angles: The word "alternate" means "alternating sides" of the transversalIf two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles .

Answer 2

If pair of parallel lines are cut by a transversal, each pair of alternate interior angles will be equal.

If pair of parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.

If pair of parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal will be supplementary which means they add up to 180 degrees.

• The angles given rise to by a transversal can be classified into various kinds such as interior angles, exterior angles, pairs of corresponding angles, pairs of alternate interior angles, pairs of alternate exterior angles, and pairs of interior angles on the same side of the transversal. All these angles can be specified in both cases, which implies parallel and non-parallel lines.

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