Question

I want help answering part c to find what the measure of angle ROS is

Answer 1

First, consider than angle ROS can be calculted by using:

$m\angle ROS=m\angle QOS-m\angle QOR$

to find the measure of angle QOR use:

$m\angle QOR=m\angle POR-m\angle POQ$

replace the given values for POR and POQ:

$m\angle QOR=61-28=33$

next, use the previous result and the given value of angle QOS:

$m\angle ROS=46-33=13$

Hence, the measure of angle ROS is 13