Question

14. POQ is a straight line in which OT and OS bisect
POR and ROQ respectively. Prove that
TOS = 90°​

Answer 1

Answer:

we know that POQ IS a straight line

angel POQ=180

OT bisects angle POR and OS bisects angle QOR

this implies anglePOT=angle TOR=X

Also angle ROS=angleQOS =y

angle POT+angle TOR+angle ROS+angle QOS =180

THIS IMPLIES 2x+2y=180

X+y=90

therefore angle TOR+angle ROS=X+y=90