
In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.
The correct answer is: B
Explanation

PQRS is a cyclic quad
^P = 180 - 110 (opp β s of a cyclic quad)
^P = 70
In ΞPTS, ^S = ^T (base β s of Isc Ξ)
β΄^T = (180-70) / 2
= 110/2
= 55o
But ^T x(corr β )
β΄x =55