Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS as shown in the figure.
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 30 degrees, measure of angle POQ is 50 degrees
Measure of angle POS is 30 degrees, measure of angle POQ is 65 degrees
Measure of angle POS is 25 degrees, measure of angle POQ is 65 degre

Question

Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS as shown in the figure.
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 30 degrees, measure of angle POQ is 50 degrees
 Measure of angle POS is 30 degrees, measure of angle POQ is 65 degrees
Measure of angle POS is 25 degrees, measure of angle POQ is 65 degre