what is the measure of the angle of rotation with respect to two lines that intersect to form a 25° angle?
To find the measure of the angle of rotation with respect to two lines that intersect to form a given angle, we need to consider the concept of supplementary angles.
Supplementary angles are pairs of angles that add up to 180 degrees. When two lines intersect, they form four angles, with each pair of adjacent angles being supplementary.
In this case, we are given that the angle formed by the intersection of the two lines is 25 degrees. Since the angles forming a straight line sum up to 180 degrees, the adjacent angle to the 25-degree angle will also measure 25 degrees.
To find the measure of the angle of rotation with respect to the two lines, we need to determine the difference between the measures of the adjacent angles. In this case, it will be:
180 degrees - 25 degrees - 25 degrees = 130 degrees
Therefore, the measure of the angle of rotation with respect to the two lines is 130 degrees.