Question

in figure ray os stands on the line poq. ray or and OT are angle bisectors of angle POS and angle s oq respectively if angle poq is equal to X find angle r o t.

Answer 1

let angle ros be x
and angle sot be y
according to question
ros = rop so, ropis also x
sot =toq so, toq is also y
angle rot =x+y
......
x+y+x+y =180 (angles on a staright line )
2(x+y) = 180
x+y=180/2
x+y=90
rot =90

Answer 2

Answer:

so here firstly we will take

angle PQR= x

angle ROS=y

angle SOT=x

angle TOQ=y

so,

X+Y+X+Y=180

2( x+y)=180

x+y=180/2

x+y=90

ans=90