CBSE Class 9 Answered
POQ is a line. ray OR is perpendicular to line PQ.OS IS Aanother ray lying between rays OP and OR.Prove that angle ROS=1/2(ANGLE QOS-ANGLE POS)
Asked by umang agrawal | 16 Sep, 2010, 12:00: AM
Expert Answer
Dear Student,
Refer the figure given below,
from the figure, we have
QOS + POS = 180 --------- (1)
Also,
QOS - ROS = 90
=> 2x(QOS - ROS) = 180 -------- (2)
From (1) and (2), we get
QOS + POS = 2xQOS - 2xROS
=> 2xROS = QOS - POS
=> ROS = (QOS - POS)/2
Hence proved.
Regards Topperlearning.
Answered by | 16 Sep, 2010, 10:35: PM
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