If lines S and T are parallel and one angle formed by a transversal intersecting these lines is labeled 122 degrees, you can determine several other angles that are also 122 degrees based on the properties of parallel lines and transversals:
-
Corresponding Angles: The angle that is in the same relative position on the other line (T) will also be 122 degrees.
-
Alternate Interior Angles: The angle that is on the opposite side of the transversal and between the two parallel lines will also be 122 degrees.
-
Same Side Interior Angles: If the transversal creates an angle labeled 122 degrees on one side of the transversal, the angle next to it on the same side will be supplementary (180 - 122 = 58 degrees), but that's not what you're asking.
In summary, the corresponding angle and the alternate interior angle formed by the transversal with the parallel lines will also measure 122 degrees.
3 answers