Question

two lines intersect at a 54 degree angle. if a figure is reflected over both lines find the measure of the resulting rotation.

Answer 1

Two lines intersect at a 54 degree angle.

Note that the composition of reflections over two intersecting lines is equivalent to a rotation, which is two times the angle measure at the point of rotation.

Therefore, the measure of the resulting rotation is

54 x 2 = 108.

The measure of the resulting rotation is 108 degrees.