Question

Mike constructed a quadrilateral POQS. He 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 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 degrees.
Measure of angle POS is 25 degrees, measure of angle POQ is 50 degrees.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

Measure of angle POS is 30 degrees, measure of angle POQ is 65 degrees.