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Meg constructed triangle 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 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 degrees, measure of angle POQ is 40 degrees Measure of angle POS is 20 degrees, measure of angle POQ is 30 degrees
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does everyone agree with @lakota1999
no. angle POS is going to be half of angle POQ because this is the method of bisecting an angle using a compass

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