CPM Homework Help : INT2 Problem 2-95

A laser light is pointed at a mirror as shown at right. If $∠x$ measures $48^\circ$ , what are the measures of $∠y$ and $∠z$ ? Justify your reasons.

Hint:

Angle $x$ and angle $y$ are separated by a vertical angle. Does that say anything about their value? Also, angle $z$ is a reflection angle.

Answer:

$y=48^\circ$ because vertical angles are equal.
$z=48^\circ$ because the angle of incidence equals the angle of reflection.

$A light source, A, hits a mirror at an angle x between the mirror and the source. It refracts at an angle, z. between the mirror and the line of refraction B prime. The light source line extends behind the mirror to a point B. The angle opposite, x, between the mirror and B is, y.$