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How to prove this sum

How to prove this sum-example-1
User Aleh Douhi
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\text{PROVE:}\ \angle ROS=(1)/(2)(\angle QOS-\angle POS)\\\\\angle QOR=90^o\\\angle QOS=90^o+\angle ROS\\\angle POS=90^o-\angle ROS\\\\\text{substitute}\\\\\angle ROS=(1)/(2)[90^o+\angle ROS-(90^o-\angle ROS)]\\\angle ROS=(1)/(2)(90^o+\angle ROS-90^o+\angle ROS)\\\angle ROS=(1)/(2)(2\angle ROS)\\\angle ROS=\angle ROS

User Jorge Caballero
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Hope this helps you..!!
How to prove this sum-example-1
User Timbre Timbre
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