Final answer:
The question is about finding the measure of angle 6 when lines L and M are parallel. To provide an answer, more information or a diagram is needed to apply the properties of parallel lines and transversal angles.
Step-by-step explanation:
To find the measure of angle 6 when lines L and M are parallel, we need additional information such as the angle relationships or a diagram. Usually, parallel lines involve concepts such as corresponding angles, alternate interior angles, or same-side interior angles, which are equal or supplementary depending on the relationship. Without further details, it is impossible to provide an accurate answer to the measure of m<<6. Accurate determination of this angle would typically involve using properties of parallel lines and transversal angles and applying them to the specific geometry presented in the problem.