Question

Meg constructed triangle POQ and then 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 25 degrees, measure of angle POQ is 40 degrees

Measure of angle POS is 25 degrees, measure of angle POQ is 30 degrees

Measure of angle POS is 20

Answer 1

degrees, measure of angle POQ is 30 degrees