Answer:
∠ROS = 19
Step-by-step explanation:
The angle sum theorem is applicable.
∠POQ + ∠QOR = ∠POR
∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ
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∠QOR +∠ROS = ∠QOS
∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR
∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR
∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22
∠ROS = 19
