In the figure above, PQRS is a circle with ST//RQ. Find t...
In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.
A.
70o
B.
55o
C.
40o
D.
35o
Correct answer is B
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
= 55o
But ^T x(corr ∠)
∴x =55
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