Beck used a compass and straightedge to accurately construct line segment os as shown in the figure.

which could be the measures of angle pos and angle poq?

a) m∠pos = 60° , m∠poq = 120°
b) m∠pos = 50° , m∠poq = 110°
c) m∠pos = 50° , m∠poq = 120°

Based on the given figure above, we can find the measures of angle POS and angle POQ by analyzing it carefully. Look for POS and POQ where POS = 1/2 POQ. Base on this, we can conclude that measure of angle POS = 60° and measure of angle POQ = 120°. Therefore, the answer would be option A. 

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c