Question - Parallel Lines and Transversals Angles
Solution:
The image shows two parallel lines, labeled $$ m $$ and $$ n $$, with a transversal line crossing them. The angle formed between the transversal and line $$ n $$ is given as 133 degrees, and the angle formed between the transversal and line $$ m $$ is labeled as $$ x $$ degrees.Since lines $$ m $$ and $$ n $$ are parallel and are cut by a transversal, the corresponding angles are congruent. This means the angle opposite to the 133-degree angle (across from the transversal) will also be 133 degrees because it is a corresponding angle to the one on line $$ n $$.Therefore, the value of $$ x $$ is 133 degrees.
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