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?

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?

QuestionCoveBot · Answer

Could you upload the picture, please?

sylvester · Answer

tha pic pls

Mercury · Answer

please make sure to include this info next time diagram: |dw:1599234999585:dw| https://us-static.z-dn.net/files/ddb/0dfd5ae81c929b573b6f1d654ddf59c9.png choices: 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 angle POQ is 75 degrees Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees

Mercury · Answer

the construction she is making is for an angle bisector. therefore, OS splits the angle POQ into two equal angles, <POS and <SOQ. which of the choices shows angle measurements that are consistent with this fact?