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Applying the angle addition postulate, the measure of angle ROS is: 16°
Given the following angle measures:
m<QOS = 49°
m<POR = 56°
m<POQ = 23°
Find the measure of angle QOR:
m<QOR = m<POR - m<POQ [angle addition postulate]
Substitute the values into the equation
m<QOR = 56 - 23
m<QOR = 33°
Find the measure of angle ROS:
m<ROS = m<QOS - m<QOR [angle addition postulate]
Substitute the values into the equation
m<ROS = 49 - 33
m<ROS = 16°
Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°
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