1.

eachfind9. In the figure given below, ray OS stands onine POQ. Ray OR and ray OT are angl rsPOSofand 2SOQ respectively. If 2POSx, findZROT

Answer»

If angle POS = x degrees, then angle ROS = ½ x degrees.

Angle SOQ is the supplement to angle POS, and thus it equals 180 - x degrees.

Angle bisector OT causes angle SOT to measure (180 - x)/2 = 90 -½ x.

Observe that angle ROT = angle ROS + angle SOT = ½ x + (90 -½ x) = 90o.



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