Question

solve this question urgent please

Answer 1

First of all think angle POT as 1 TOR as 3 ROS as 2 and SOQ as 4.
we know that,
angle 1 = angle 2 eq i
angle 3 = angle 4 eq ii
Now adding both the equations we get,
angle 1 + angle 3= angle 2 + angle 4 eq iii
we also know that,
angle 1+2+3+4 = 180 degree
so 2( angle 1 + 3) = 180 degree
so angle 1 + 3 = 180 / 2 = 90 degree eq iv
so we can write angle 2 +3 = 90 degree
And thus it is proved that angle TOS = 90 degree because angle 2 +3 = angle TOS