if the angle of rotation with respect to lines l and m measures 30 degrees, then l and m intersect to form an angle of how many degrees?

is it 30 degrees?

looks like it to me.

Though the phrasing is strange. Better would be

the angle of rotation of line l with respect to line m

To find the angle formed by the intersection of lines l and m, we need to consider the relationship between the angle of rotation and the angle formed by the intersection of the lines.

When lines l and m intersect, they form two pairs of opposite angles. The angle of rotation with respect to lines l and m measures 30 degrees, which means that one of the pairs of opposite angles formed by the intersection is 30 degrees.

However, it's important to note that the sum of angles formed by the intersection of two lines is always 180 degrees. Therefore, if one pair of opposite angles is 30 degrees, the other pair must be equal to 180 - 30 = 150 degrees.

So, the angle formed by the intersection of lines l and m measures 150 degrees, not 30 degrees.