Question

Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:

An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S and a dashed line is drawn from O to S, such that OS bisects angle POQ

Which could be the measures of angle POS and angle POQ?

Measure of angle POS is 35 degrees, measure of angle POQ is 65 degrees
Measure of angle POS is 40 degrees, measure of angle POQ is 70 degrees
Measure of angle POS is 45 degrees, measure of