Question

in the given figure PQ is a line and OS is a ray. if two rays OR and OT are bisectors of angles POS and SOQ respectively then prove that POR and QOT are complemantary angles​

Answer 1

Answer:

Step-by-step explanation:

to prove angle POR + QOT = 90

proof: OR is bisector of POS

         OT is bisector of QOS

           so angle QOT = TOS and SOR = ROP ---------equation 1

     and QOT+ TOS+ SOR +ROP = 180 degrees (PQ is a line) -------equation 2

so from equation 1 and 2

angle POR + POR +QOT + QOT= 180

2(POR + QOT )=  180

POR + QOT = 180/2

POR+QOT =90  

hence proved