Home » In the figure above, PQRS is a circle with ST-RQ. Find the value of x PT = PS

In the figure above, PQRS is a circle with ST-RQ. Find the value of x PT = PS

In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.

A.
70^o
B.
55^o
C.
40^o
D.
35^o

Correct Answer: Option B

Explanation

PQRS is a cyclic quad^{^}P = 180 – 110 (opp ∠s of a cyclic quad)^{^}P = 70
In ΔPTS, ^{^}S = ^{^}T (base ∠s of Isc Δ)
∴^{^}T = (180-70) / 2
= 110/2
= 55^o
But ^{^}T x(corr ∠)
∴x =55