Final answer:
The measure of angle 6 cannot be determined without additional information about its position relative to angle 1 and the parallel lines. If angle 6 is an alternate interior angle with angle 1, then its measure would be 42°.
Step-by-step explanation:
The question asks to determine the measure of angle 6, given that lines a and b are parallel and the measure of angle 1 is 42°. To find the measure of angle 6 (m°), we need to use the properties of parallel lines and angles created by a transversal. Since alternate interior angles are congruent in parallel lines, if we know the position of angle 1 and angle 6 relative to the transversal and the parallel lines, we can determine m°. However, without a diagram or additional information about the position of these angles, we can't provide a precise answer.
If angle 1 and angle 6 are alternate interior angles, then m° of angle 6 would also be 42°, because alternate interior angles are equal when lines are parallel. If they are corresponding angles or any other type of angles, we would need their specific relationship to give an accurate answer.