Applying the Relationship of Corresponding Angles to Find the Value of x

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Added 4 years ago by tomm

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Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines.

A transversal is a straight line crossing two parallel lines. There are various angle relationships formed when a transversal crosses two parallel lines. They include: alternate interior angles, alternate exterior angles, corresponding angles, consecutive interior angles, etc.

The theorems of the angle relationships include: alternate interior angles are equal, alternate exterior angles are equal, consecutive interior angles are supplementary (equal to 180 degrees), corresponding angles are equal.

Given expressions representing the angles formed by two parallel lines and a transversal, we can make use of the parallel line/ transversal angle relationships and usual angle properties to solve for the unknown variable in the expressions.
#geometry #parallellinestransversal